{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plain Python implementation of K-Means\n",
    "\n",
    "K-Means is a very simple clustering algorithm (clustering belongs to unsupervised learning). Given a fixed number of clusters and an input dataset the algorithm tries to partition the data into clusters such that the clusters have high intra-class similarity and low inter-class similarity. \n",
    "\n",
    "### Algorithm\n",
    "\n",
    "1. Initialize the cluster centers, either randomly within the range of the input data or (recommended) with some of the existing training examples\n",
    "\n",
    "2. Until convergence  \n",
    "\n",
    "   2.1. Assign each datapoint to the closest cluster. The distance between a point and cluster center is measured using the Euclidean distance.  \n",
    "\n",
    "   2.2. Update the current estimates of the cluster centers by setting them to the mean of all instance belonging to that cluster  \n",
    "   \n",
    "   \n",
    "### Objective function\n",
    "\n",
    "The underlying objective function tries to find cluster centers such that, if the data are partitioned into the corresponding clusters, distances between data points and their closest cluster centers become as small as possible.\n",
    "\n",
    "Given a set of datapoints ${x_1, ..., x_n}$ and a positive number $k$, find the clusters $C_1, ..., C_k$ that minimize\n",
    "\n",
    "\\begin{equation}\n",
    "J = \\sum_{i=1}^n \\, \\sum_{j=1}^k \\, z_{ij} \\, || x_i - \\mu_j ||_2\n",
    "\\end{equation}\n",
    "\n",
    "where:  \n",
    "- $z_{ij} \\in \\{0,1\\}$ defines whether of not datapoint $x_i$ belongs to cluster $C_j$\n",
    "- $\\mu_j$ denotes the cluster center of cluster $C_j$\n",
    "- $|| \\, ||_2$ denotes the Euclidean distance\n",
    "\n",
    "### Disadvantages of K-Means\n",
    "- The number of clusters has to be set in the beginning\n",
    "- The results depend on the inital cluster centers\n",
    "- It's sensitive to outliers\n",
    "- It's not suitable for finding non-convex clusters\n",
    "- It's not guaranteed to find a global optimum, so it can get stuck in a local minimum\n",
    "- ..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-03-11T13:39:31.237035Z",
     "start_time": "2018-03-11T13:39:31.226992Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import random\n",
    "from sklearn.datasets import make_blobs\n",
    "np.random.seed(123)\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-03-11T13:37:28.102812Z",
     "start_time": "2018-03-11T13:37:28.098597Z"
    }
   },
   "source": [
    "## Dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-03-11T13:39:32.652089Z",
     "start_time": "2018-03-11T13:39:32.331596Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Shape of dataset: (1000, 2)\n"
     ]
    },
    {
     "data": {
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goKEjkfJrEKeii/e1GrsxxpgBTut/R2tQbyu9AF13DKqNENgbKf1R9nngRadkUsC2XXAmAL4xsP6rKGlAoOEPeNPfsi3h2k1FX4PGa8mWdlbrr0VGHNbhFDf6NNT9oO0WiD+HVq+E4VM3vMBEToaGRR2vLaXgL2xtHayP3RhjTGdSH+Tel14M7jqIP4uuPyXrWu5S8kMI7geEQYq9FLa+rSG9lA0pY5N4zfVJstd6u5kVLjE/c/1sZf60wybVBNRlWzzG9ZrXU+9tKEnR1yC4T5tUvBGQYqTi5gGRvc5q7MYYY/JzhoG7opODFDSKNtyAVP6l3R6REDLs72hyofeS4BvjTWdrvqMbhVC82nwQr6bcSZN3Ks8MKqeq47b4K2QdB+BdDI0+Af4dEQl4K89V/sOb855sme72ZcQp68qD9DmrsRtjTIGoJnDrr8VdvQ/uql1wq8/MWuMtuNL/6+KBCsm3c+6VwE5I5EQkuKc3Ta3b0t68dinvwbktQlB8fut3qi4afxmNPZ7/vs1/Q1fvjtv0HwBEBAkdiJT8ACmaPGCCOliN3RhjCkZrL8zUFDN9z4lZ6PqvQdUTXua1AcKJTMRtvsebt90Z32ZZN6sm0Ka/Q/S/4Ca8VeV60p+uLmhD985pJwHxOWhof3BGoNWnQfqzzCj6zsriQsPVuIHdcYJ7bUIZ+pYFdmOMKQBNLW4f1L2toAm0eQpSeknuc9Ofoc1TwV3tTdEKfdFrHu6Lcmoa4i95ARWH3M3VABGkTW243XVqzofEG7QOOEusabPXl/mzs8AaBP2sC8flo5CYjq5/DoIHQepTcq8Pn0P9tVB13yaUoW9ZYDfGmEJIfQwSaJ1vvUHCm1+dg8ZfRmsuwAtuSTT2GPjuhOF3Z59zvQlUk2j1OZCan1lHPZcwSAhK/w8JH9nxOsl3vYQuuVZzwwWKgRzJZlruQYL8LxZdlckLH38+x/UEZCTo6uynp5f3Qhn6jgV2Y4wpBP9YyLqSWBACu2Q9RTWF1l5CuwCpzV5+9Ob7kOKzereM0Ye93O5ZF04pAtJQdjUS2h+VKhwniCZmo423QPIDkAhETgCnjPy1YiV/UG+5X64Xg5bhYsqGQXUtq8blW60t10uCA6WXQP2l2XeHupXhtd9ZYB/CGqNx7n3hLZ5/+yNKIyEmH7k3R+45bkBMxzDm807826LB/TLN021q7RJAis7IflJqIdkDZAyi06CXA7tGHyF7UA9B8dlQdBbEHkHXfxXc9bhSnun/zgRMBZpuw6ttb+pyqNV59mUL0H7wjYb0Wjou09oihNfy0bZsDgS/gESO9zLWdZgN4EdKLu56sQvAAvsQFY0nOePae1lZU08i6fVHvbd4NZOP3IsfnnRIJ2cbY/qDVN6C1l8H0QeBGAT2Qcp+hfhG5zgjRM5aZptmeFWFxOto4lXEGQbh4xFflilenRYwmGO7HwkdgcamQsONtAZ/zbYympJ7qdS+FIfAvkjJIWjjrZm562375gXvsxS8F48YUAROEVJ+NSI+tOppb+W4+BNACvy7QOmlaOxJNL0YCewLkUmIRPr/8fKwwD5EPfr6e6yubWgN6gDRRJK7n3uT0ybszfCy4gKWzhgDIBJGyn8F5b9CVTtvTfNvB84ISC+j/TzuCFL0DaDNymOJOUAzSggab4CKW5HQwd0rX9HXvWVRNw7MUoT6d4WaczruG1ACSGQShI9B666A2PTM9gTe59em9SM8EQkeCpHjNgTq6L2QeB6vzz3sjeSvOQ/vBSHuzW1vus3LSudU9ueD5WXz2Ieome98SizRsekr4Pcx/5OVBSiRMSafrnSRiQhSeTtIpZfBjQgQgshECE/yDopNywxUa2l+jnuJY2ovQrWbo79DR3t95ITZkDWuDKm8A5LvgNZ373rZn4puZ5XrKneVdwcJ4FRcCyNmeP3+HSQhvRwpOrk1qLvND0LD9Zmuhbg3liE6Fe9zbek6iUJ6Ndpwc9+Uv4esxj5EjaosxXEE122fnUlVGVZWVKBSGWM2lfi3g5EvQfxlcNdDcDziH9u6X5sfJnst2oXkfAju2/V7iSDlV6PFZ3lZ1qQCwhNA07D+8E1+Fo8fr4uhs8FzPZB4HU2vBGckJGZ6aWZzLfO6cWKgplvo+Dlmy3aXhPhTwC83vby9xAL7EHXq4Xvy2Kz3ibkbau2OCMPLitlj2+wJJIwxg4NIEMJH5djpy769NSVrD+7nHwf+cRuuFHuQTR8M16JlrfV8Ops/n4ME0MRbXldEemn+a8hGCYHSa7Ifl1Wo+2XrQ9YUP0TtsOUIrvzW0ZREghSHg4QDfsZtPpzbLvqqjYo3ZgiTyCl4TfQb7whDYPfeuUl6DbmnnvWmMASP8VoKekKboPl/3kI1nb0YOMPR1FLc2p/irj2Krtd7w95KcgOI1diHsKP33ZEj99yORZ+tpTgcYptRA2dwhzGmj4SPg/iLEHsKb5BXAMRBKm5FctbmO9LUUi/Vqn8HxDe8/T6pos/6xdsK7guJGfT8JUIh+UrXDk3NRtefkFkLPtdLQAikxCuPut71Qwcgxd/uYfn6hgX2IS7g97HLNrmmzhhjhhoRB6n4A5o8GxKvg1MBoaMRp6RL56vbiNb+ABJzveluGkcjpyJlVyDi4Nb9yhst3tfCJ+ONXk/0/b1aaJSO/eg+oBj82yClF0HwEEi8BukVENgNCezcf+XrIgvsxhgzBElgl5wZ7PLR+l9kpsolNqS7jT6I+rdDA3vmDuq+PSD9Dp0up9olAkXfgPrf0HnfuvTSPclxnSAy4hHEt8WGTd2cNtjfLLAbY4wBQDUKsWfpWEuOQuNf2g2g60CSeNPiemNeexDxj0NDB0Lq/SzlaXdjeu1lIut10pu4TGz/s8FzxhhjPJonKOt6SM7Js1+9Zv9N5gAhtPHPEJ6Yma+frz+/J4vCFLFh/rwPCELkNDoOOgxB+Ngud2MMFFZjN8YY45FKL7Od+1mOA/IE0aLJSGBntPosvKlw3UyG0+4e9dB8L0SnQ+Wd0HwPxKb28HrZpCB4sLfkLX4IH434RuP6t4LGmwABTUL4KKT8N7143/5R8Bq7iPhE5C0Rmd750cYYY/qKl5DmN3hN6t0ID75tkaKvoamP2ZB/PYC3FGtPl5JNgdZA7YVI5AQou47eG4mf8BLuRL6CFJ/ZmpvfKf42MnIWMvx/yMiXcSpu6PWlcPtDwQM7cBHwfqELYYwxBiR0MDL8AYicRJcSrxSdj1Q95mVuq78KL91qAq/G3kTPa+4Z7mdozTmQ/DDTLN9b0uDWdNgqEkL82w2o3O/dVdDALiJbAhOBOwtZDmOM+bxTVTT6GO66r6A13wEUIqcCOVZ4a9F8G1p9Btp4O+2Wn22VzrKtu1IQ/Q+UXkXv9SC7aLoat+ZC3NX74K45BLfxlu7n0x+ACt3HfgNwKVCa6wAR+R7wPYCtt966n4pljDFDk6ZXoY23eLnmnUqk+BwIT0SbboGmv20YQBedhreM6Shwl+W7IiTn9kPJ0wiNqH9HSL3XO5esOZPW1LjaCI23o8kPkMqbeuf6BVKwGruITALWqGrenwhV/auqjlfV8SNGjOin0hljzNCj6XXouhO9VcrcFZB6D627HG34PTTesdGo+DQQBf9YvP7yQkujiYWQ7s3VKTfOdx+H+PNe1r1BrJBN8QcDJ4jIYuA+YIKITClgeYwxZkjT5n96+dPbBbQoNP+b7A24KUi8zSb3k/eW2D2g1X18E4XUB318j75VsMCuqj9T1S1VdQwwGXheVb9ZqPIYY8yQF59F1mQvEsy+HYDeWHN9Y/3R+trTEfRJNLUM1d7KZtf/BsKoeGOMMf3BvwVZA56mIbAn2QfK9UWA681ad44ALqV0OvAvl6abvNS63aCppWjTv9Dme9D0up7dt5cMiMCuqi+q6qRCl8MYY4YybxWyjaewBSCwO1L5VwgdAQRBIuQPD6FO9nemN0bKZ/j3puNc+TBU3Az+nXp2TW2G6KNoclGXDncbb0XXTUQb/oDWX4uuPRI3+ljP7t0LBkRgN8YY032aXoE2/QNtuhNNfdrp8RLYA8r/4GWYIwIEIXgQUnkr4pTgVP4FGfkqMvxRctd2HRA/PUvl2gcqboGib4EUAQ74toLwl6H+Gki9k+MkgcB+EBhP7iZ711vFrROaXACtU/0SeEvMxqHuMjTLPPn+UOjpbsYYY3rAbf4v1F+N11Su0HAjWvJ9nJLz857nRI5Bw1/01lp3SjskYhGnDJwy1D8ux7QyZ8Oqb4Xm3w3HPxzKLkFLf+QtYlN9BsQeJ/8a7gGc4XcD4K6dCOlsNXNfl3Lfa3Q62ccn+CD2AhSd3IUH6V1WYzfGmEFG02syQb1tlrd46zzszoj4EP/WebOrSemlZE8Hm2JD2thCEZAKpPJ2VF00vR5IIomZkP6E/EFdIDgeAE0tg/SSHMelIPTFLpQlTdZxCKIUqlXDauzGGDPYxJ8ne2BNorEnkcCOPb60JuahjX+E5PvgVGUWhNk4cLl44UPpWn95y0pqvRDofNtC5GSkaDIaf81LY6vrM2Xx03FuelsBkBBSlhkYl3rfmxGgWWrcgd0Qp6jT4kj4y2jzfXRYrlbdzJiF/meB3RhjBp1cI9U3rZaoiXlo9Rm01ng131S3YqCxC1cVCB0Jvi0huQCS75A99WxX+MGNQuPNaONf8For2n4WuYK6H3xjIHQ4UvwtcMpRTXll0mwvJgEI7NWlEklwT7RosrcaHQm8hnAflP0C8VV1/dF6kQV2Y4wZbEITgN9m2RFEwsf1+LLa+EfyN2O34RsFrgva0Pmx8VcyxTuInjfhC96Kb6t6cGoZUvUwJN/2lpVNLwH83kI3/u0gtZB2SXgkgBR1Pa2KU/YzNHIiGnvWaxEIH4f4C5cC3frYjTFmkBHfKCi9HG/aWRCvjhaCku8igR5O8QKv+b1LwlB8jrdmeU4t4UXxauhxSLyQ2V5Cl1aOa30JEHo+nz4AlbdDeila/Z1MH3zaK0/0YXAqvRYFAt6XbxxS+XfEv1W37iKBXXBKL8QpObegQR2sxm6MMYOSUzwZDR0C8adAUxD+IuIft2kX9W0GqS5kmgvshURORJun5JlSlqtLoBmvrzsAzq6Qfj/HsU7mK8WmJckRiD2KunV0bI2IQ2IWMuIpcP6AplZC01/Q6jNREkAYImcgZRch0sNkNwVgNXZjjBmsxI9qGnXrIb12k9OgSskP8ea3dyI5G23+H5RdRs/CSNJLApN+j9wvAC75B8J1VcKb/hZ/Mcd+P6SXey9HNd+EWNvpazGI3onW/l8vlKP/WI3dGGMGIY09j9ZejBcAE2h0CgQPhoqbEfH17KJOFUhFm1XecjWBp6H5LqRqOiqRzMIyA5jiLcuaVRR8Y72R7VkTyijEn0TTKxHfZn1YyN5jNXZjjBlkVONo3SV4TcuZ2qVGIfEqxJ7q2TWTi9Dqs0G7uCyqW+c1T5deRvb57gNFCIL7kbM5X4pB6yDxOrmn7ikae9H7W3oF2nQX2ngr2uUxCf3LAvvngKoy7+MVTH99AQuXrSl0cYwxmyoxh+yLuTSj0Ud6dEltakmL2m5r7hOC+wPgFH0dqbwd/LtkL1NBZAYUShEEdvJaMnI9izai677iTcXLx12D2/wwuvYYtOHPaOPN6Pqv49b/rrcLv8msKX6Iq2+Kcd6NU1myugYRcFXZfdvNuPH8kwgHu/7P3xCN8/xbH9EQjXPgTluz3RaFmZ9pjAHI09QuPfy1nvqArs+B90HZlRtuGToITU6ExkLXYAVK/4z4fF7KXP8uEDwAYg+jOGR/PgVi2ZPUtOWMgPoraP/yk4bm+9DwMUhwn157ik1lgX2Iu+be5/hoxTpS6Q0/0PM+XsHt01/l4pMP69I15ny4jItufQQUUm6aW8Rh4gE7c/lpRyEyUN7QjfkcCe5L1uAuRUjklJ5d078zpD4if3AXkNEw7E4c3/DWrZqYB4030/XR6453Ld+4TJ723loaViF+P4QO9Z4nuD8iggb2xQt3+YJ3J8+NkP2FKoZGpw+owG5N8UPQh8vXMuXZuTz48nyee2tRu6AOkEileeTVbIs7dJRMpbnk9keJxpNEE0mSKZd4MsUTsxfy0juf9EXxjTHl23WdAAAgAElEQVSdEAkglbdmVjQrwmt6DkP4xB6nMZWSc+l0/fKic3BGzcAJbN9uszbeTJcT2zjDkVHzkVHv4IyYTq833yfeQBuuR2svQNefjLqN3rzyyEl0acR/Lg2/I/sofWGghVKrsQ9yH69Yx7NvLkIVjtp7O+5+/k2envMhadcl7bq4OV6EE8murYf81kef4WaZQhONJ5n22nsctOsYahqiVBSHCQbsx8mY/iLB/WDETIg/DW4DhA5G/Nv1/Hr+7dDKv0PNabmPCeS4fqpr65ZDBIrPbZ0T7qaW0fsLpWR+t2kKUh+hjX9Gyq5Ayq6G4H5o8z2QWuwNmOtw7yBerXyjvO8tzfVZBZHI8b1X/F5gv4kHsTufmMVdT7xBKu39IP/9qTcAOtTQNyYCB+86pkv3yBbUWyxZVcOEn9xOKu0iAt84cm8uOOFgHMea543pD+KUQKT3lgV1QuNxAwdAclaWvUEIHZv9RP/2kOhsNH0Iir+DFH0LADf2HNT+bJPK27kERB+Fsiu8bsPIiV5iHbcaXXcCuLXeMYhXvrKrEQmgTXdk0szm+v0XxnuBcKD4LCS4Zx8/R/dYYB+klqyu4a4n3iCebNs01LV+qlDAz49PObxLx+693RZZk14EfA7L1tWRTG2o+d/7wlsE/D7Om/SFvNf8cPla/jtjHuvqmjh0922ZeMAu3RrIZ4zpO1JxLbruZNBaNvxOCcKw/+Rc7UxKfohWv0HuWq0fxAexhyByAm78RWi4pvcLn41GcddO8Fo1ggchpZd4TfNVj6JNUyDxMjibIcXf3hCgw0ejq3fNfU0pgcgJSNHXEP/Y/nmObpBNzVTUn8aPH69z5swpdDEGhH89PYdbp71CspPa+cYcEb5/wkGcc+z+XT5nxvyPuezOx1FVEqk0kWAARYklOvY3FYeDzPjT+Tlr7U+8sZCrpjxDMp3GdZVw0M8Ww8v590+/QSQU6NazGGP6hmocYk9587T945DISUiO0faaXgupD70/m+6A9MeZPdlGoQs4W4K7nN4bMNeZjcsRgqqncPyb5z3LXXukN7I+FylDRsxAnOJeKWXO24jMVdXx3TnHqkn9zBuR/hqfrqpmu82Hs/vYzXj+rY+oa4px4M5bc96kgxg9rLTT6/gc6dGIdEXZY9v22ZOi8SSvvb+E6vom9tluS8ZuPrzd/sP3GMcjV53Nk7MXUt8c5wu7bMMPbn4o6/WjiSTxVIpIsGOQjidTXHPPs+1aGWKJFMvX1fHAy/M444vd+tk1xvQRkZBXI42c0LpNNYE2PwSxaSAhiJwK8dcg9qD3vSYguDcMux9JvYs2XOetd96Ogrua/gvq0PHlIg41Z8GIp/OfVvJzaE0ClIWmIPYkFH21F8rYuyyw96PXFizhx7dPaw1sa2obeXXBktb9j816nxnzP+F/V5xJVXn+t8AJe2/PLdNe6bDdEQgG/MQSKfw+p0N/uyr85I5HmX7NOZRGQry6YDGX3P4oiVSKlsabkRUl3HrhyYzdbEOAH1lRwplf2hB4t9+iincXd1w+cUR5MeEcg+gWLl2T9WUknkzx9NwPLbCbzw3VFCA9T/3az1TTXla61Lsb0s0mZuEFzfSGOeCJN6Hhl0jFDWhjSY6r5Ru464PyG6DhKq/pvKsj7bsrvRi35iKk7LKcaWKdyJdQ51a07ufgZlsqNppje+ENrDH6Q9wf//fiRn3i7aVdpTmWYMpzczu91ubDy7jk1CMIBnyEAn5CAT/BgI+fTp7AzRd8hbOO2Y9DdtuWkL/jP3EynebJNxbS0BzjksyLRtsemTW1jZx53b1E47mXZLz45EM7BPBwwM8lpxyesyWhOBzEzTFMv6xoIKekNKZ3aGoJbvUZ6Ord0NW749ZciLrVhS5W5+IvQuq9NjnkwVu/fOMgnYDYs6hGIXw02VPN5gns4RNwIscgI15Gqh4CZ0yOA9su+Zqr5bKTZWHjT6HrJqGppTkPkdAhSPnvMtMKN94ZgcDAGjTXwmrs/cR1lU9Xdf4fOJl2mfvh8i5d85RD9+Cw3ccyY97HKHDEnuMYWVHCy+98wiOvvEtjNJ61D95r/q7lhXkf55wO1xxP8st/Pckfvpd9Gsc+22/J7Refwq3TXuHDz9ax1Yhyvn/8QRy48zY5yztu8+GMqixh6ZradqPtI8EAk4/Yq0vPbMxgpW4juv5rbaZZuRB/Fl2/CKoeQ2Rg1LPUbYL4M+Cuh8B4COyBxl/2VmPr8kWiXqa2vLXzjfkhXY0m5yOBPVA0T404AYE9IHI2xF+A+HQ6NLmHJ0JiNrjLclzDBW1CG29AKq7PXazgF8C/UyblbEsLQgj8O0DwoG48X/+xwN5HlqyuYe6i5ZQXhzl0t20JBvyUFYWob944F3N7jghbjijPuk9VeXPRZzz+xvuownH778T4Hbbk1MM3vDV+uqqan975WNaBbS2KQgH22HZz1jc047q5B9+9OO9jbnnkFUZVlnDkXtsxvKx998AeYzfj9ou7nuVKRLjxgpM474ap1DVFERGSqTSnH7UPh+4+8EaWGtObNPowXmBo+38u5QWvxGsQOrhAJdtAkwvQ6jO9/mMSQABCB3mBjQBeLb0TvpFo/G2ou6zz46Ui86KjQAqSM9D1r0Pl7d5qbOLP0R2vkFqEOGE0OYesc+FT70DlXbD+OHK/YLiZxV/yFFEcGPZPtOnvEH3Iu3fkZG8U/QB5GduYBfZepqr89t7nmP76+4iA4zgEfA53XHwK3zxqX/7+1Bt5g24w4MvZ1/ynB2bw4Mx3iCdSKPDUnA84/sBduOwbE1qPuf/Ft9tNQdtYwO9j9LBSDttzLKurG3BESOcYyJJ2lX8+PZuA38efHpjBr844mmP326lrH0QOW42o4NGrv828T1ZQ2xhlj7GbdXhhMGZISi3aqCk7Q9OQXgwUNrCrKlpzAWh9m60piL8K/r3wErfkC9QChJGyq9GG39Kl/nGtzbIxjtZc7C3eonmuoVG06V5wV2Tfn1qMExiDDrvbW942V+3fqey0mCJhpOR8KDm/02MHgoH5ujGIPffWIh6ftZB4MkUskaI5lqCuKcZFtzzMWUfvx9cP34tQwE8kFCAc8LP1yAr8Podw0M+w0iKuOfs4dtlmFOD9R3tv8SqeffNDXn1vMVNffodYJqiDNwJ92uvvtVuxbeX6etJZ2tcFKC0Kcephe3DyIbtzwU0P8sf/vciRe+XPVJV2vWlt8WSaX/7rKdbXd6M5LgfHEfbebgsO32McPschme5Oc50xg5MEdsVL/7rxDsdr1i0wTX0I7tose6LQ/E8o/QW5l2d1ILAvMvwBJHQw5Om37pq6TJKczn43xEFyBGbfSAAkuA8yYgYED8drdWgrghR/dxPLOvBYjb2XTX35HaKJjm+1DdE4H362lotOPpTvTTqQtbVNjKwoIRz009AcoyGaIJV2iSWSpNIuDdE45984laVra3FEiCWSWQeeJZJpZr77KTtt5f0QH7DzNsz+cFmHVgEFmqJxHpz5DqpKPJNSNhIMcOhu2zLz3U87nYCSSrucf9NU7vn56ficTXsnfOTVd7nxoZk0ReP4/T5On7AP5036gmWtM0NXeBI03gRunA0BK+gthBIo7IwQTS2Fmm+Tc5EUXe8llCm/Eep+DDS13y8lSOVfvUx4AL4t28xn36SS5dkX8bLIaRM0XE/7NLARKL5wQ/FEoOIGtO7HXguEBECTUPxtL7/+EGOBvZflGvXe0p8MXjDdemRF676GaIIf3z6NJatr8DlCwO9js2GlfLxyfafpYV1VXnl3MacftQ8hv5+dtx5JSSRE2tUOTfKu0iHgRxNJZi1cyvePP4i7npyFqhfAc6WSXby6hhnzP2FCJzX9fJ57axHX3f9Ca1mSaZcpz81FVbngxML3MxrTF8QpguFT0frfQfx5r/84fKKXCa3AqyRqzfe9wXJ5RaHxtzDsfqj7EaQztXLflkjFDRuCOiClP0Zr88wB75EQXl96EiiCwG5eilj8KGlovNUb4CelUHIxTtFX2p0tTjFSeQeaXgXp1V7iHSfXlLzBzQJ7Lztuv51YuGxNhwAqQmsTe1uuq5z75/+xsrphQzCNJ6lr6vp/iAVLV/Pd6//H2tpGmmIJVBWfCMUlEeqaonSWXNDvcxg9vJQHrzyLF97+iJXr67l/xrysLxXJVJpn5n6wSYH9jumvdfh8YokU9zz/Ft+bdCAB3+CY22tMd4lvFFJ5Q6GL0Y6mlkC6i4uxpFci/ipkxGNo2ssNn20euIS/hJZfl6nddzJvHe3avYdN8abdueuR0OEQOqI1D4AUfxstOisT2IvzviiJbzT4RnfYrqnFkHzTG80fPGjQ5BjIxgJ7LzvxoF15cvZCPli+luZ4koDPh88Rrjn7OAL+jj8ob338GTWN0byLrXQmmUqzYMnqDtvT6hL0+1qb3XMREcqLwmw2rIzTJnhrCq+sruf5tzs2pYlAJNjJ0o6dWFXTkHV7ynVpjiUpLx68/6GMGXS02cvj3qVfQUrL/PBciV1aOJHjcDUJ9ZcDbWcDOd5o+MD2UHQWNPwR0ivouKLaRqrPhhEzcHxeZk5163EbboPY417TeuRUpPjsbrd+qLpo/eUQne59DohX6x82xcspPwhZYO8G11UeefVd7p8xj+ZYggl7b8fZx+xPefGGASXBgJ+//vhUXpr/CTPmf8zK6gYam2M88up7FIWD7Lv9loA3MG5ldQOfrFiPdHE9YkfIOe88K82/OluLgN/Hgbt488+Xra1l4dI1nH7Uvrz+/lKaN0pSEwr4Oeng3bpRiI6236KKtz7qOJK1OBykNNJJUgljTO/yb0/HQWXZBCB0eLdyoztFJ+CKDxr/7AVv3xZI6U+Q8DGtx2joEIg+hiZehtQKSL2V42qNUHMOVP3XS2+7/lRIL6d1pH7jLWhiNjLszi6XD4Dow97LAfENLzcaRWvPR6qmd+9aA4QtAtMNV015hidnL2xtRg74fYwoL+a/vziDonD7WmxDc4xv/PZu1tc3tdaYw0E/Pzr5MHYdM5qf3fU4a2obSbtup/3o4GV18zkO0USyW7X7keXF1DXHW/v+RQCFonAQVaUkEuKmC05i7GbD+eU/n+SFeR/h9/lwXaWqvIjqBu8tWlVJpV3OnXQgZx/T9QVkspn38Qq+f+NUYm3GI4SDfi792pGb/NJgjOk+jb2A1l4EpDJfYbx6XwIk6E3J82+PDLsLcbLn2egNbvwNL487uacEy6j30eg0qL+SjrX8CDJ8ChLYvev3XPdVb857B2GkanrBa+22CEwfWrG+jsdnvU+izYC0ZCpNdUMzj76+gK9vlDntvhffZn1dE/E2x8cSKa6fOgOf43SoCecjQMDvIOJ0u8l+fUMz+26/JZ+uqiaRTHHo7mM5/4SDWLa2jkgowC5bj8JxhP88O5cX531MPJlufRFZWd3gJcA5bE+a40kO2GnrdjnsVZXZHyzj1QWLKSsK8+X9d25dwMZ1lXgqRTjg79A0tue4zbntoq9y08MzWfTZWkZXlnLupC9w1N7bd+vZjDG9Q8JHQtU0tPk+cFciwUMhcjy46yC5EHybI4Gd+7QMGn8Rai6ksz4BXTcpz4h7F5LvQjcCe8658uLkn0c/gBUssIvIVsC/gdF4Iyf+qqo3Fqo8nXlv8WoCPl+7wA5esH5j4dIOgf2l+Z+0C+otWkadd4fijZzvibSrvP3RZ0RCQZriSZ6a8wELl63lyL3GUVlaRGVJhC2qyvnfjHntatDglXPuh8v5/XcnUZJpIq9vijHt9ff4cPlaFi5dw/K1dcSS3oIzf3t8Fr/79nF8sqqafz49m+Z4kuGlRVx08qF8ef/2vxT2HLc5d13ytR49kzGm94l/DFJ2WfuNvi28rz6mbiNacxFdGkWfbxqd+MHpODAur8hx0LiU9uMA8HLB+8d171oDRCFr7CngElV9U0RKgbki8oyqLihgmXIaUVGMm+VN0u9z2KKqY9PU8LIsiSiAtOtmTSDTU5FgAJ9PaMwT+BNpl0Tzhv8wH61Yx0cr1hH0O9ww9SXOnXRgzhYEESGeTFESCbFkdQ3f+v19JFKpDqPaU2mvS+GSOx4lFPC3viSsrWvi6inPsLa2kTGjhrH7tpsxLMdnY4z5nIrPIPdiLl3leIPeQod2eqS6jQCIU4IUnY3GnvDWXtdmvPEGfqT8j4N2ZHzBAruqrgRWZv7eICLvA1sAAzKw7zl2c0ZWlLB8bW27wOz3OZxyWMcVfr4xYR/e+KB9ohifI4yqLKW2MdqtpviN+X0OO2xRxdYjK5l44C5cPeWZvIE9l0TKazn462OzOGiXbXjpnU86vHSMqixlWKkXiH9zz7M0RGN5p88pdKj5x5Npbnp4JsWhIIlUmjO/NJ7zTxiYiycYYwoh20pxbfnJ1+/uZb7bE6m4HpHcYU1Tn6J1l0LyPe/7wN5I+XXI8Icg9jgaf8Xrdoicivi37MmDDAgDIqWsiIwB9gZmZdn3PRGZIyJz1q7Nlu6wf4gId1x8CruNGU3Q7yMc9DOivJjrzzuhXbKZFgfstDU/OOFgQgE/xeEg4aCfsZsN528/OpWtRlYQzDL1ratSaZdVNQ1858sHsKamgdrGTUvzGk+m+CgzOt+X6Q8P+BwioQBXnnk0IkLadXlr0WedzonPRRUaYwkSqTR3PzeXGfN6IyuVMWYgUFXUbUK1e92MrYKHkj+wd3ZdP1J8LpKn20DdJnT9ZEjOp3WQYHIuWj0ZAImchFPxB5zSHw3qoA4DYFS8iJQAM4BrVPXBfMcWelR8i7V1jUTjKbasKu80BWpTLMHCpWuoKAkzbvMqAKLxJP9+Zg6Pv/E+9c1xGjLN5N1toR9eVkRVWTEfLO+9Fx7HEQThoF234YcnHcJ2mTK7rnLghTd1e3xALvvvtBW3X9T1leGMMQOT23S3lypX60FKoOQHSNGZXZpPrqklaNOd3oA30pBamOUohy4lsPHvhFM1Lfe9mh9A66+mw0h6KUbKf4uEj+v8HgXQk1HxBa2xi0gAmArc3VlQH0hGlJew9ciKLuU1Lw4H2XeHLVuDOkAkFODcSV/gkau+zYUnHULQ788a1EvCQS6bPIGScPaEMLFEitqmTpI6dJPrKmnX5bX3lnDGtfdy7wvenFLHEb649/ab3AvWor4bmfWMMQOT2zwVGn4PWgOkvSVYG65Hm+/p9FxNLkDXnwjRByD1nrf6HQ5eNroWAaCLCbHSn+W/X3opWZPgaLzTcwebggV28V7n7gLeV9U8q9wPXcl0mj8/+HKHPukN+10O3HkbDt51TNb9sUSSraqyN+tvau7plOsST6b44/9e5G+Pv47rKpdNnpB1oODGTjp4V7YaWUEo4Mv5IuBs4iIyxpgBoPEmOgbLKDTd0umpWv+bzGC1lib4NOB6KV19Y73R7UWToeJ6INJ5Wfz501xLYFeQbKvrBcHft1P5+lshf7seDJwBTBCRtzNfXy5geXpFNJ7kk5XraYjGOz12dXUD6TxLlqZdl4dffZdD9xhLJNgxM1TaVeZ/uoKKkkjrficT0Huri0UVbnv0NS64eSolkRAPXXkWO241IufxZUUhfvnNo3nk12fz2k0XctYx+2U97uMV6/l4xbpeKaMxpkDcNTm2r+u8vz35do5zVyNVj+GMfAmn7Aqc8Beh5FwgCFJM9hp8ECn9Sf77hSaAs9lG5we9l4jgF/KfO8gUclT8TDZ9fsOAoarcMf11/vXMHHyOkEq7TDxgZy77xoSci5qUl0TyTn1LpV1eX7CYUeXFbD2ygo9WrOtwfCLlEk8kufTrR3Dzw69Q1xTtYs7n7pm1cBnH/uyvOI4wrKSITAK7dsJBPxd9pf1Uk1SOFxdV5Y2Fy9p1URhjBhnfNpD+JMv2LRDppN4opZkm/I23R9i4zumUnI9GvgaJWSgu1P8atIF2v4W0szUxAjD8frTxRog+nln44iSk+ILOyzrIDK2nKaAHZ77Dv5+dQzyZojmeJJFK88QbC7n5oZk5zymNhDhq7+3zjpD/YNlabnjoZT5dXZ3zBaG+OY7rKtF4slfnyG9sXX0za2qbWLh8bYegLgKXfu0IvnJI+4xPFSVFWZ/P73Moa5Nj3xgz+EjpT/HSz7YVhpJLOz+56JvZz41MztqVKL4qJDIREnMyTfhtfwsl0LrLOm+plABoCrTRW6Y2MRvSSzov6yBjgb2X/OOp2R2XIk2meODl+aTd3E1Sx+23E6VFuRc+Ubx54IlkOmdfvAL3PP9WznSzfp+zSdPrukIVIqGOTWQTD9g56yBDEeHIPQdnVidjjEfCRyKVN4N/JyAC/h2QihtwIp2PMJeS70NkIl4Te6n3Z/iLSOmP858Yf56sc9rd9eB2XOWyLa35AUQfxMsyp5Cch1af3roE7VBhgb2X1DRmH52eTKWJJ7IH5Adens+ld05nfb03D93nCP7M/PHu+nR1NdkG6YcCPk6fsDe//+6kbl+zu56a3XGqysiKEi8lbThIcThIcThAZUmEW354coeFc4wxg4+EDsepmoYzeh5O1XQkPKFr54kfp/x3yIgXkco7kBHP41Rcj0gnvxeyDYADwM0042enqU8hMYsOqWM1gTb9u0tlHixsEZhesus2o5jz4fIO20dWlGYN1PFkihumvtSulp92Fb9PKAkHiXYzM12uwQoBv4+zjtmf5976sFvX64lc3QCH7LYtz/3hPOZ/spK0uqyqbuDZNz/k4xXrOGb8jhbgjfkcE18V+Lox1qboDG+KXbu88n4I7p935TmNvQBky9CZzDF/fvCywN5LfvTVwzjnT/8lkUy3NomHA35+OvnIrP1FS1bXZN2eSru4rnZr7XWfI2xZVc6qmoZ22wU4Zt+dCAZ8XP/AS91+pu6au2g5P759Gmd+aV/2Gtc+A1TA72PM6EomXzOFuqYYqbRLOODnL4+8wr8uncyWIzpm72urMRpnynNv8uybiygOB5h8xN4cu9+OmzytzxgzuEjRaWjqPYhO9/rMccG3NVLxp/wnRqfmuiIEhtZy0QXPPNcdAyXzXC4ffbaOvz3+OguWrmGbUZV897gD2HPc5lmPXVvbyPFX/L3DanEAw0oj1DTG8g4ECfq9leZEQBAUzZruNRz0U1kSYVV1Q18Mls9pRHkx35t4IF85eHccR3Bd5fgr7mJldceXj/E7bsUdF+fOQhdNJDntmrtZWV3f+nlFgn5OPGhXLv1615r9jDFDi6Y/8zLW+TYH/255X/JV0+jq3HPVZcTLiG9UXxRzk9l67AW23RZVXNfFvuwRFSXsvd0WzF20vF2a1nDQT11TPGdQDwd8REKB1kVfVEHzhOxYItUhmPaHtXVN/OmBGby7eBWXfv1IZr7zadZyKDDnw2Uk0+mco/4fn/U+a2ob2r0ERRMpHpz5Lmd+ab/WNeCNMZ8f0o0lZTX2TJ4LlQ7YoN5TNniugK77zkT22X5Lgn4fxeEgkVCA7xy7f85UtSJwyO5jaY4nSfZSzva+FEukeOTV9zjsR7fyu/uey3mcIKBegL/+gRnc8djrfLaurnX/qwsWE80yADHg8zH/0xV9UnZjzBDSfFfufZGht2aF1dj7QTSe5F/PzOGJN97HcRyOHb8jh+8xlq1HVnL7RV9ldU0D6+ubGbvZcAI+hynPvUVtKltOY3j2zUX9/wCbKO261Dbmzg2/25jRXP6PJ3jlvcXE4kl8Pod/PjWbX53xJY7dbyc2qyzD50iHwXmKUlVW3NfFN8YMdulcWS59EPlqvxalP1iNvY+lXZdz/vRf/vnUbJatrWPJ6hrueOx1vnntvUz4v9u48aGXGVlRwi7bjCLgd/jhrQ9R15x96tzgGQ3RPScdvBuvvLuYaDyJ4g0gjCdTXPWfZ2iKJTj18D07NNM7IlSWFnUYpGeMMR2EDqb94jIZUoL4t+334vS1TgO7eL4pIr/MfL+1iOzf90UbPBYuW8Odj8/iP8/OZfVGI9NnvvMpS9fUdBgk56qSSLnc/+Lb3PO8t4LaC29/xOyFy3q85nl/6q2x6KMqS3hyzgdEEx2n9/l8DrM/WMY2oyq59rsTKS8OUxQKEAr42X7LKu64+BRWVtcz98PlOfMIGGP6j6qiqU/Q5Ic9X5u9D0jJBZkkOG0bqSNQ+gsv1ewQ05Wm+FvxFsOdAFwFNOAttZp9dY/PEVXl9/e/wCOvvUcimcbnc7h12qutTcgA8z5ZSXOeOemxRIqbH57J6GGlTH99QZ+mhO0NkWCAkkiQqvJi3l+afQEInwjpLr6d1DZGWVO7LOd+v8979zxs97E8+/tz+WRlNUWhABUlEX7y10d5+6PPCPi8GQKnHrYHPz7lcJsCZwaVaCrB7OqPAdhv2Dgi/sGZ10GTi9DaCyC92hsQJCVQ8WckWPhQIb7NoGqat/Z74nVwNkdKvjsgytYXuhLYD1DVfUTkLQBVrZFOUwN9PsxdtJxpr73XmmTGzdTKr/zP0xy827aURkKMHlZKOOjvkG62rUQqzS//9RRFPcg4118EuPy0L7LrmFE8+voC7n8x+8pMQb/Ddd+ZxLX3P8/6+ubWEf++zJS3jcN9PJl/4Yb9dtyq9e8+x2H7LbxEFj+98zHeXPSZl9kvc42pM98h4Pex9ahKth09jD223cyCvBnQXlrzPlfMux8n0wbmovxmz69z6MjBtYyoahyt/iZoLaBev6E2ozXfhapnvSQ0BSa+0UjZLwpdjH7RlT72pIj4yHTxisgIvBr8596Tsz/IOlo7kUzzXGaQ27Hjd8TfhbXHo/Ek9c25B5g5fRygfDlG4rfYdcxoTj50d2bM/4QHZ76Ts2UhkXK57v4XuPDEQ5h0wC6UF4cZXlbE4XuM7Xaq3OvPO4FQoOO7Z3MswYvzPia5UfdGLJHiX0/P4ff3v8D5Nz7ImdfdS2MXls81phDWxRu4/O17iaYTNKXjNKXjRNMJfv72fayP9/8U1Ujy+lAAACAASURBVE0Sfx4vq9tGvxc0jUYfLkSJPte6EthvAh4CRorINcBM4Ld9WqpBIteSpACvLVgMQFlxmBvOP5GRFcWdBvhkymWzYSUdtocCPk46aFcqSyKURIJsPqxsk8qdTWct5wfvOgZVZcpzb+ZtfQD+n73zDo+juvrwe2dmi7pkSZYld8u994qxjQ0YML2YEnqAQEJooYYkfAkJNST03iGAqaYZA24Y3Bvu3bItWb23LTNzvz9WlrXeWWklywbb8z6PHrMzs3fuCO2ee84953fIK63kz298Q0ZKPPMev5HvHrmBh649g9goV9hSvoNplxQb5K03pMbrD7vHLwkY+Fqfn205Rfz7owUR3c/m14OUko/2LOG8H/7NyXMe5L7V/yOnpuSXnlarMydvXZgzkjl564/oXA4ZoyjQNS0Eb5ONWWxanyYNu5TyXeAu4CEgFzhHSvnh4Z7Y0UDvjuFFDXKKA3XYn/y4jt8//SnVtT40TUEV4RPPVEVw8tBePHzt6XRLb0NKfDRnjOrDh3+5gvt/czJzHvsdPzzxezSt9YsZhIDOba1lXVVFcMXJw1m7c1+zPOAXvlhcn0zo0FRe+9N0BnfLQFMVNFWhb6c0Jg/pHtJ5zu3UuHxKeKGl5PhokuLCN3vYj083+Gb5lojna/Pr4InNX/LU5llk1xRT7q9hbv4Grlj0DAWe8qbffBRRo/vQLTo/6qZJjX6URZqcw7D8ZhPRCOeoIz6d451G99hFoPv8Willf+DYUslvBUb27hg2USy9TQJb9hbw+Ifz8fr1g/sJWaKpKmeN7Ue39GROGd4r7HUeiwzyQ8U0JbsLysKe//eH8/naontbU/ywdicXThgEQEZyPK/ccRFVtYH+8fExbjw+nXte+YrFG7NwOjT8usG54/ozfeLgsGMKIbj/0inc+dKX+HQjbLtaaDyqYvPro8xXzad7l+MzD3h/JhKP4ee9rJ+4pffpv+DsWpcxKT14fce8kLbOmqIyNrXnLzSrliEcfZGuCeD9AdhfoeIGrQe4Jv6CMzs+adT1k4F6hZ+FEJ2O0HyOKrqlJ9OzY2pIu1S3U+OyyUP45Md1llrwVihCcNf0iXRLT27y2vEDuqGqreu1NxaJN0zJJz+tbzIEfzBCYDnP2CgX8TFupJS8/PUSlm7ejaapeP06EwZ049bzTmwyZD+uf1dev3M6pw7vRb/OaWQkx4f4C4oQjOxt/+keTeyozMephPobfmmwpjTrkMbeVVXAd7lr2VLRemqF+Z5yvspZxbz8DXiN5i24eye0Z2rGYKLUA7nIUaqT0zOG0DPeusfErxmR+F+I+zNoA0DrBbG3INq8jRC2DtqRJpLfeDqwQQixDKjef1BKedZhm9VRxJM3ncPtL3zOtpwiNFVBSsmfLpzI4Mz2vD9vDWYE5WsOVeGms8Zx7rgBEd3z+jNG8+3KrVTW/LrDdYqAiQMzw57/6Ie1vDdvdV1We2AB9MP6Xfzn4wURNXfp1bEt/7zmNACyC8u44pH38Ph0PH4dt0PD5dS452K7SczRRLuoRPxm6AJSQdAppmWZ1T5T5+7V77KieCeaUDAw6RHXjieHXU2sw93iub6yfQ5v7FyAKhQEAkUInhx+FQMSI19M3tvvHE5q15+vcwJaFqe3H8Ko5O4tntMviRAqIuYiiLnol57KcU8khv3/DvssjmJSEmJ46+5LyCkqp7y6lsyMlPpM7omDMlm4fleTvdWdDo1zxkXeNlARAl8zvedfAqfDwebsAsb27WJ5/s3vVoREAbx+nU9/2sDtF0ysr2GPhA6picz8+9V8sXgjm7ML6d0hlTPH9CUuuuVf3DZHnvbRbRjSpiurSnYFheOdisZvuo5v0ZivbJ/LiuIdeM0DW2Kby/fx6MaZ/H3Q9BaNuapkF2/t/CFojgC3rXyTbybdh6ZYNzQ6GCEEo1N6MDqlR4vmYWNjRSTJcwusfo7E5I4m2qck0Ldzu6DyrMlDe9CrQ2qj7+uQksCLt15AQkzkBmj2ii0Rh/h/Sao9Pm5//nP2Flrv3ZeFUYvz+nUe/WBes0P/cdFuLp08lL9feSqXTh5qG/WjlIcHX8rEtn1xKCoOodLOncgjQy6jR1x6i8b7bO9yvAcZYL80mJO3Ht1s2edoZvZyvGbogt2QJitLdrZoTBub1qJJj10IUcmBLVgn4ACqpZStX3N1jOFQVV689QJufOpjVm/LCdrHVgQMzmzPy7dfGCSiUlHt4fMlG9iyt5DeHdty5ui+xB9k9Pfkl7ZIN15VBF3bJbNjX1GLdec1VaF7RjJb9hZGNIZPN3jovTk898fgRgsen86Aru1YutladW7movXsLihttE+7zbFJtObiwcEX4zF81Bo+Eh0xhyQ0ZGWAIWCEDWmiWWmIN4LP1NlXE+YzKAlZRNjYHGmaNOxSyqBm10KIcwBbKz5CHJrKEzecxZWPvU9hWRW1Xj9RLgcxbicPXn1a0BfW3rp9Yq9fx+PTmbNqG6/OWsrzt5xPZa2X5PgYNFVh415rKddIcDs1YqKc9f3cm8slk4Zw2/kncsafXyW3pCKi9yzbshevX8fl0Fi2eQ8PvT+XvQVlaKpi2bUNwG+YrNuVy9bsQno2EfWwOTZxq07c6qGLXI5O6cGC/I2YB5ni3vEZuNTmiSYtK9rO3WveDevp69JgaJtjr6mIzdFFs9MVpZSfCSHuORyTOVaJj3Hz4V+u4Mf1u9iWU0in1CQmDc7EeZCq2sPvz6WyxltfvuXxBxLBLvnXu0S7HOiGGejD3sIuMYYp2Z5TiKcJGdfG2L8Oue70UTw6I7JwuaYo7MwtRgjBrc/PrH+PTzdwaioOVeDxWyRMCcGOfcW2Ybc5JG7pdTqrSnbhMXx4Tb0uxK9xX/9zmzVOua+GP61+G49F9ruKQFNU7ux7FrGavQVk88sSSSj+vAYvFWA4x24H0cOGpipMHJTJxEHWWeJSSpZu3hO2JruxRjLN4VBCmqoi6vufnz22HzUeHy9+tQSvX8dvGGHXGxJJYmwU//n4B7wHGXCfbqAqAqem4NOD63mlhM5pSS2er40NQEZ0Eh+Ov52Ze5ezvnwvmbFtOb/TaFLdzdtNnJu/3vKbT0EwOKkLf+p7Fplx4UWrbGyOFJF47Gc2+G8dyALOPiyzOY4RQuBQ1cO+P6cbMmz4uylMU3L6yEBzCiEEl04eyvRJg/ly8UYenTHPUjdfEdC/SzrpbeLZlVtiafzdTg0pA5K69ckcmkqP9in07Wx/UdocOonOaK7MnHBIY1TpHnQZGu2SwLDkbrZRt/nVEEk90StSyqvrfq6TUv4TOKprMzw+nVnLNvP67GUs3bQ7olrzSNidX8rG3XkhzUkiZeqIXs0q8ToYVRHEusPvSTo1lUGZ6ahhNOsdqsLZY/qihRGH6dE+hTbx0QfdU2FnXrGlUQdIS4rj8eun8cO6nWQXWkuC+g2T5/54HkO6t0eIQF7C1BG9eObm5oVKbWwOJ6OSu6OJ0EQ7l6oxyi5Xs/kVEYnH/jQwNIJjRwV7Ckq5+rEPAjKvfh2nQ6N7RjIv3nohbmfLFJL2FVdw2/Mz2VtQhqoqCAH3XzaFU4aFl4W14o4LJrAxK59t+4paNA+npnHVqSN4ZdZSvH49yDuOcjmYNrIPewrLLEvl3E6Nt+66hDe/W2HpzbudGtdPG2N53/YpiWGjACN7dyK/rIp7XvkKrx5q/N1OjfNOGMDAbhm8csdFmKYMtHK2263a/MroGZ/ByekD+T5vHbVGIPk0SnUwvm0f+idYNyyysfklCGvJhBBjgLFAqhDi9gan4qGZ9SG/Iu57dRZl1bX1Rq/W62drdiGvf7OMG88a2+zxpJTc+OTH5BSVB/bH67bCH3jzW7qktWlW4ldslIv37/8Nlz/6Hlv2FDQ7XC6EpFfHtnz01yt47ZvlrN6eQ/uUeK46ZQS9OrblrL+8Zlk73rVdG+67dDJl1bXMXb3dMoHi3HH9mRQmP2Dq8F48/P5cy3M/bcjC5zfwhUnYu3TSEG46a1z960i7v9nYHEk8hp+FBZvoHZ9Br/gMVhTvQCI5vf1QJrTtYy9EbX5VNOaiOoHYumsalrxVAEdlcXFpVS3b9hWF7PN6/QZfLNnYIsO+dlcuxRXVIUlvPsNgxoKfuf+yKc0aTwjBy7deyKMz5jFr2Wb8ukFyfDQxUS5255c2+l7DhFG9O6GpSsh9P1zwM1W1HkujPbxnRxb8vIMducXUWjSYcTs0erRPDfvltWTT7rBzKqmoYU9BqWVSYGyUkzF9u9jG3OZXSb6nnLd2LmBJ0TZya0tRxYEtrFPSB3F///PCfiYMaQZdHylf5azixW3fU+ApJyMqid/3PJXJ6ZFJTdvY7CesYa9Tl1sghHhDShn+m/soQjbiAcsWJvqXVtZafrhNU1JQ17I05D1VtSxctxNTSsb370pyXab5fqJcDv52+Sncf9kUDMOsL4t7d84qnvh4QfjscynxG0b9Pv3SzXv4cMHPVNZ68esGfsP6jR8vXIspZdj9fUUROB3WQZqNu/P565uzrSdEoMXq8F4d2ZpdGCjVa4DPb5CZ0XTTGxubQ8Fr+PmpcAslviqGJHWNKMktp6aEyxc9g8fwocvA3+3+fwG+y1vL6JQenJw+sP6YlJIZuxfz6o65lPlraOdO5I+9pjKlwTUHo5sGZf4a4h1RfLNvDY9v/AJPnaBOdm0JD6z7CEVRmJTWr6WPb3McEsmmco0Q4jGgH1BfoCmlPOq6a7SJj6ZruzZsyw5WTXNqKmfUZXs3l/5d2lkmy7mdGuP6hwpVzFq2mb+/8y2KooCUPPzeXO6ePolzTwhdlauKEpTodtnkofTqkMoNT35kbdwFFJdXk9Ymjte/Wc4b3y6vrxlvzCne703rRmhv6P3nTxzQzfLcO3NWNipv2zktictOGsqHC34OMuyKEJx7wgASY5vuq25j01K2VeZy07JX8Zt6fXvlye3689cB56M04lE/v+1bqnVv2AW/x/Dz2d7lQYb93awfeWn79/V17nmeMv6+7mNcdfvwB/PR7iU8v+1bfKYecA4k9UZ9P17Tz7NbZtuG3aZZRGLY3wU+AKYBvwOuBAoP56QOJ/+65jSueXwGfl2n1qcT7XLQMTWRa6a2TEwvJSGGyyYP5f15q+szw50OlbaJsZw1JvjDWFhexd/f+TaomxnAozPmMbJ3J9qnJDR5v+G9OjKmTxcWbcwKOefzG5z119dRhEAig4x/cxP/o10BRS4p4bEbphHjdrJuVy6rt+fQJj6ayYN7EOVysGlPeBU8RcCwHh0oq6oN6TkNkg1Zuc2blI1NI1TrXj7du4zFhVtp44rltPTBPLzxM8r9NUHXzctfz+iUHkzNGBx2rBXFO5uM4gX1jJcmr++YFyJe4zH9PLV5Fiek9g6K7H2b+zNPbZkVYsit2Fdb0uQ1NjYNicSwJ0spXxVC3NIgPN8qTWCEEFOBJwkk470ipXy4NcZtjG7pyXz9z2v5dtVWcosr6NelHeP6dan3jP2GwZxV21iwdgdJsdGcd8IAurdvvF3kH84eR/8u7Xhv3moqarxMGdqDiycOJsoVLFc5d/V2COkaHgjbf7dqK1edMiKiZ8grbVzKNZzITaQkxkZx+wUn4tRUTujXFadD4/YXPmfZ5j34DROnpvLoB/N56bYL8Frsye/Hoamcd8IAnvtiUUgY3pSwfV8xO3OLI+pBb2PTGJX+Wi5f9AxFngp8dbXms3N/try21vDzyd5ljRr2eEcUJb6qsOfdqoPTGry/pk7X3ordNUVMm/8IfxtwASNTAi1ZX9k+NyKjDpAeZYs02TSPSAz7/r++XCHEGcA+oMOh3lgIoQLPAicD2cByIcTnUsqNhzp2U0S7nZwzNrRNqs+vc91/PmL7viJqvX5URfDpT+u5/9IpnDHaOlS/O7+UH9fvwuVQefjaM0LqvBvi1w1MGRruNqWMuPZ94+78sPXgrYFTUzlzdF/OGNmHksqApzNz0XqWbt5TH9bfH7K/44XPiWmkbv4vvzmZ1MRYsgvLLbUCNFUhr7Sy3rDvLSzjvbmr2ZFbzKBu6UyfODgk/8DGxor3d/9EkfeAUW8Kq57vAGW+Gv5v3YfsrSkO+94o1Umf+Pac2WFY/bFo1UmM5g6JDuyn0FvBn1a9zbvj/kjHmGQKPJF9ht2Kg5t6nBLRtTY2+4nEsD8ohEgA7iBQvx4P3NYK9x4JbJdS7gQQQrxPQNHusBv2cHy1dBPbcgrrDZhhSgxT55/vfc9JQ7qHeODPfb6It79fgZSBBLN/f/QDD141lclDrcUqThzYjWc/XwQEG3dNVZkw0LqU7GD2FJSiqgq0QARHEeFD8kJAlNNBt/RkhvXswLS/vEZxeV22vwQ9JJQeSBycOKg7ewvLQuRg46Kc9XX8w3p2YN2u3JC9eJ/fqG9r+/OOfdz01Mf4dAPDlPy8Yx8zFqzlnXsuoUNqYrOf1eb4Yn7+JnwRtmB1Kw6mplt767eufIOtFbkYBy3ABZDsjMMvDbyGH4/pZ03pbkYkBz63ilC4occUntocPryuS4OP9izmtj7T6BGXzs9loTnJMZqLKMVJka+SdHeinRVv0yIi6cf+pZSyXEq5Xko5SUo5TEr5eSvcuz3QsGdndt2xX4zZK7ZYNjVRFYW1O/cFHVu3K5d35qzE6zfw6QYeX0Dw5v43vqGy1ms5fqe2SVx5ynDcDg1FCIQIJNlNnzgo4nr3zIyURrP7W0r/zu149LppTBjYjTte+Jzc4gp8uoFumJZGHQJNauas2kpclLte3EdTFdwOjb9fNbU+y376xMHERrlQG2Tw7Rem2e+R/+Pd76j16fW1+z7doKrWy5OfLmz1Z7U59khwRJaEKYDM2DTO7RSaU7O1IpedVfmWsrECQamvmnJ/DR7Tz8bybG5f+RaLC7fWX3NBp9Hc1fcsEh3WUSZdmuyozAfg5l6n4VaCHQW34uCuPmfx9Un3svTUfzJz4l2ckjEooueysWlIJE1gegLPA2lSyv5CiIHAWVLKBw/x3lZ52iEWSwhxPXA9QKdOnQ7xlo0TE2UdVpZSEuUKPjdr2WZL0RVVEfy4bhenjexNbkkFn/64jtySSkb26sgpw3vxu2ljmDgok2+Wb8Y0JacM70X/Lu0s7+vx6dR4fCTFRdUn3qQlxuJwqJbd0JqisfXAuqw87nttFtUeX7OEcQrKq3GoCsnxMfTr1470NnFccOJAOrU9sC+YFBvFe/ddxotfLeHH9TuJi3Zz6aQhnDMusB1S7fFZ1uibUrJ0057IH9DmuOWSLuNYV7anyV4LKgojU7rjVEK/+vI9ZWFrzwNdDII/F17Tz1/XflDXXtbBBR1Hc0Hn0QxL7saFC/8TlFy3n7XleyjyVjIwqRPPjfwtz22dzbbKPDKikriu+2ROaNsbsJUXbQ6NSELxLwN3Ai8CSCnXCiH+BxyqYc8GGuowdiCwfx+ElPIl4CWA4cOHH9aucheMH8TijbtDvPbYKFeI8TVMiQyTpGZKyfIte7nluc8wjEBt+dzV23n92xW8ddfF9O7Ylt4d24adh8en8/D7c/hm+RYgkMx27yUnMWFgJve+9jXVnuAkHSHg7LH9+WLxRovs88ipqPG06H1+w6S0qpYpQ3pw6ghrGd3UxNiwYj1OTUVRFAyLUGp0I3v4Njb7Gd+2D1d0O5FXt88L6bveEB2T+XkbubFn6L51z7h0/BGG8/dT7q+l3B9Qc3x262zWle/lwUHTmdyuP7P2rQm53jBN3s/6iT/0mkr/xI78d/hVbCrPwaVo9IrPaNa9bWzCEYk0UrSUctlBx1qjBdlyoIcQoqsQwglcDLRGiL/FjOnbmcunDMOpqUS7HMS4nSTFRfH0H84NUUc7dXhPS215wzQZ06cz978+C48v0M4UoNbnZ19ROW9/t7LJedz/+ixmr9iCTw+E+QvKqrj31a/5acMulm3eE5KIJiUsXLsT5Rdc5Xv9Ol8ubVl6hENTmTKkB04tWATH7dS4aKIdirSJjOu6T+Gbk/7MVd0mkO4On5exq6aARzfMDElkTYtK5LSMwZahxEjwmH4W5G9gd3URZ7YfhssiKuCXBitLdgIwL289p879J7eueIMblr3M2Qseqw/V29gcCpEY9iIhRCZ1cSghxAXAIRcgSyl14A/AbGATMENKueFQxz1UbjxzLF/84xruv2wKj1x3BrMfup4eFuVuQ7q356wx/XA7A/vlDlXB5dC475LJVNR4qLLYZ/fpBt+u3BpyvCGF5VX8uH5XXa37Abw+nbe+Wxk2TF5e7cGhtbwzXGuwPisvbBSjKe67dDIDuqbjdmjERjlxaionDe7OFVOGt/IsbY5lEp3R3NTzVGZOvIu+CeGLdz7eu4yXts0JOlbhr2VwUheGtQkVY9IilIdVhMKm8mx8ph6kVLcfgaB9VBv2VBfx17UfUq17qTa81Bo+8jxl3LT8FfRmRg1sbA4mklD87wmEwnsLIXKAXcBlrXFzKeXXwNetMVZrkpoYy9QRvRu9RgjB3RefxJlj+vHD2p24nRqnDO9JRnICuSUVYWvJm+ogV1BahVNTQzLIJVBYFr6uVjdNFEOE7bLm0FSS46NJiHaxPae4XoWruQgsEiHqqKr1sa+4gg/mr+HblVtRFcHZY/tz5SnDcTkaf+4Yt5OXb7+QnbnF7CuuIDMjmfQ28S2ao40NwONDfsMZ8x+2/HuVSP63+0eu7T4Jh6IxN289f1v7IaoQSAKGPNUVT7m/lvbRSfyu+8n8a8OnFDdS2w6Bz8e2yjxm7F4UkllP3bi9E9rz0Z4lGBZJel5DZ2nxdsalNq8zpI1NQxrr7naLlPJJIF1KOUUIEQMoUkprAfTjlL6d0+jbOVh7Or1NPF3atWFbdlGQgXc7NS6c0HhouVNaUn34viGqIhjcvT05ReUhYi/70Q0joCuvm0gpSU2IocbrQ0oY268L9106mfhoNx6fzp9e+oKVW7PRVEG1J7xQhiCwiAlIww4hPTmBPz77qeXiwTRNbn7208Ac68rfXp+9jOVb9vLSbRdElBDULT3ZFqyxaRXMJrTjTCkp99eiCsHf1s4ISbwr8VXx3gm30CE68Pc4sWgrn+5dFnYPX0XQxhnLB1k/ha2nFwhe3T6XWsNnOY5EUuarjuwBbWzC0Fh86eq6f58GkFJW20Y9ch6//kzaJsYS7XYQ7XLgcgRCy1bCOA2Ji3LR0aJu2zAlZ47uy9VTR4bsRe/HlAEN9mduPpfFT93MRRMHBTx/AQvX7+KKR95jX3E5bqfGM384l/f//BsevPo0uqSFV7aSBL4AS6tqOHtcf8b07RykX3/wtfkllfVGHQKd8zbuyefnnSF5kTY2h5Wvc1ajNLFjnuiIZn7+RoTFdYaUfNtAve7yricSpTlDrlWFgkOoDEzqzFWZE3FY7K3vxyd1qg1v2MWBIU2GJIX2mLCxaQ6NxUc3CSGyCPRjX9vguACklDJ8y6JjgKpaL6qihIjSREr7lAS+ePAalm/ZS2FZFQO6ptOlXZsm31dYVmVZ+qUqgu9XbeOOCyagqQovfrk47H57cUU1K7dl8/LXS/H6jfr9+uzCcm5+5jM++usV9V5457QkYqNc3Pz0p3h1PWznOK/fYFduCd3bpxDtcoRt/FJroQOgGwYbsvIZnHlApkBKyertOazdmUtKYky99rzN8YtuGqwv34uUkgGJndCUAwvYAk85T26exU+FW3AqKtPaD+P6HlNwq+H/Zop9lY1myHeOTkFTVHymbhk2N6TBnNwNLCzYQv/EDlza5QReH30jz2ydzeqSXUSpLnrGpdEpOpUJ7fowpE23oLr2phAIVKHU181HqU7O7jCcjGhbQtbm0GisbeslQoh2BJLbzjpyU/pl2Z5TxN/ems227CIQMKJXRx644hRSE2KbPZaqKIzu07lZ79mZV4LLqeGvDS5pM0zJhqw8FEXw29NGkRDt5j+f/BBSmmeYJv06t+OJjxaEnDOlJLekgu05RXj8OrvzS8nMSGZYjw68dud0Xp21lIXrdlkabdOU9aVnZ47pxwfz1wRdpyqBhcK+4oqQ+zpUlYzkA/vlft3gj89+xtqdufh0HZdD4/EZ83nptgsjFuqxObZYVbKLu1e/W584pgiFh4Zcwsjk7lTrXq5c9CxlvmoMJDUGzNizmE0VOTw/8rdhxxyZ3IPP9q7Aa6EEpyA4vf1QoK7MzSJ0LoEdVXmYSLZU5PBlzipeHf07Hh96Oe/sWsiL275jcfF2Fhdt5+PsZVzZ7USu7DahGdUpkrEpPSjz1xCluji/0ygmWHSBs7FpLo2mekop86SUg6SUuw/+OVITPJKUVdVy7b9nsGlPAbppohsmyzbv4dp/z7DUOj8cdExNtNSNVxVBjw4HsvOnje5Lm7hoHA16qLudGqP7dGbdrlz2FIZ6/RAI1d/z6lf87r8f89D7c7nqsQ847d6XWb09h79dfgp/vfzkkAQ/RRF0S29Tb5x/N20MvTu2JcrlqC8NTE+O5/Hrz0RT1ZD7xbidnDDgQHjxgwVr+HnHPmp9fgxTUuP1U1Hj5a6Xv2xxVr3N0Uulv5bbVr5Jub+GaiOQJV6p1/KnVW9T6qviq5xVVOtejAbet8/U2VC2l03lOWHHHZvakz4J7S3D8YnOaM6q03r/Zt/PYQP2+z1+XZrU6F7+u/lrcmpKeHHbd3jrPH0DE6/p582dC9hbU8x/hl2JW3Wg1N053NgSmNZhGK+M/h1Pj7iaiWl9bWEam1bhl62P+pXx5ZKNId6qYUpKKmpYuvnIKKBlJMczpm8XXI5gA+nQVC6fcqDpRJTLwTv3XMr0iYNp1yaOLmlJDOiazuKNu3no/bnkFlunQ3j9OtmF5dT6/NR6/fh1g/yyKp74aAHT7n+VXh1SOXtMP5yaSkxdfkD75AQev+HMoHu/fud0nvnDudx2/ok8ct00Pn3gOmbf8wAAIABJREFUKrq0a8Mrt19I94wUHJqKQ1Xo36Udr985HUcDgz9z0QZL5bz80iqyiw5fgxubX5a91cWsL9sb0tp0Tt56yzQ3KSXf5q5lY3m2pf66ALZX5tW/3lGZz7e5P7OlYh+6abC8eAfndhjB9d0nk+qKRxMKLkVjStoA3hzze+LqZGjXlGY10aC1bj7A0qJtvJ+1yPJ63TSZn7eBYm8lUoJpqVcXzLoyW1nRpvWJpNztuGF3fileC4NjmJKc4iNncB669nT+8/EPzFy0AZ+u07N9KvdeMjlIphX2t1edwO0XTGDhup3c88rXgYVJmP1vTRGYEvwW6nSGKams8fLXN2fz7r2XceUpI1i3K5eUhBgGZ2aEeBJCCIZ0b8+Q7sHy/j07pDLjL5dTUlGDqiokxLhD7hXOKxeCsHv8NkcvRd5K/rTqbXZU5qEpKqaU3Nrr9Hq99nJ/jaXim8/UqfDX0i22LS5FC5WLFYIO0W3wGn7uXP0Oq0uy0Or2rHVp4hIaiIC3fU3mJK7JnGQ5v/bRSeyqLojoWSTw0Z4llh6REIEI1WObvrAM/1tR4W+Z2qONTWPYhr0B/bum8/WyzdQe1GNcEdR3IWsNftqQxYz5a6is9TJlaE/OPaE/Uc4DSUAuh8Y9F5/E3dMnoZtmkLcbjo8XrguZN4BDVUhLimVfSSWqqqBb6NvvRxLIMSiv9tCuTRzt2sQFn5eStTtz2bg7n/TkeMb17xJ2bo21rz1zdD9e+HJxyCIqOS6ajqkJjTylzdHI7SvfYltFbl3IOvD//D+bv6JLbCpD2nRlRHImr26fG5LA5lIdjEjOpEtMKm/sXIDP1Ou9X02oZEQlMTipC09v+YbVJbvwmjoNZaFq5IE8lTd2zmdQYmdS3PG8uXM+myv20TGqDRd0Gs0V3SawonhnUFRAQYTPXMfE6lOkCIVhSd14Zce8iH4vUaqTCW37IKXEa+q4FM0Oxdu0Co3VsX9BI1EkKeUxl1B36vBevPTVEvzlRn3PcZdDpW/ndmEbtTSX579YxNvfr6xPMNu8p4DPF2/gzbsuDhFxEUJEZNQBS6U7COi455ZUYpoSbwSKVpLAnrqUkn3FFbgcGikJMXj9On94+lM27s7HME00TSHW7eK1P00PSoyLhIsnDWbB2h1szS6kxuvH7dRQFYVHrptmf7EdY2RVFZBVVYBxUKtij+nnvayfGNKmK30TOjAhrS8/FGyi1ggY4yjVwajkHgxK7IwQgpdH3cA/13/CpopsBArj2/bm3n7nIoRgZvaKJpu/eA0/b+6cz89le/Aafkwk2yvzmFewkXbuBH6beRLvZC2k1vBjYjIupRcLCjY1WgmvIFCEwJCBJYBuGtz38/shUrVWuBUHQ5K6Uu6v5oz5D1PirSLW4eaqbhO4rMt4+3Ngc0g05rE/XvfveUA74J2615cAWYdxTr8YbqfGO/dcwjMzf2Lumu04VJWzxvTlujNGt8oHrbiimje/XRG0j+/x6+wtKGXW8s1N1rg3xsHedUMi7damKIIBXdPZml3IX17/htKqWqSU9OqYysCu6azPyq0vndvfqvb+12fx2p+mN2uuLofGK7dfxNLNe1izI4fUxFhOHd6LuChXs8ax+fVT4qsO6B5Y2LpCb0X9f//fwAuZk7eez7NXIIEz2w9jSvqA+s9dZlwar425Ea/hRxVKUCmcL4KwtwSWFm+3NNN5nnJe3jGHP/Y6HSFgQlpfqvwelhZvr19oWGESaAQlG7zO95ajIHAI1TLTHgJ17/f1PxdNqPx93Uf1kYIKfy0vbZ+DJFAzfzAV/lo+2rOEZUXbaReVyCVdxtmNY2wsEU1lIQshfpBSntjUsSPB8OHD5YoVK470bVuNOau38cBbsy2V3np3aosAKmu9TByYydVTR5IUG1mPaYAnPl7AO9+vatZ83A4t0GtdgtOhEuN28uh1Z3DTU58E1aMrSkCSw1KqVlX47pEbiLfYS7exqda9TJ37r5A9Z6eicVW3Cfy2++RDvscdK99iYeHmQx5HEwpOxYEhTVJdsWTXWleWNIUA0tyJFHkrQ3q7uxUHl3cbz3Xdp3DRwv+QVV0Y8v5Yzc33k+9HaaBPX+qr4rKfnqbCX4vP1FEQOBWNBwZeyEntWu4Q2Pz6EUKslFI2q2lGJHvsqUKIblLKnXU36QrYxcYtICHGHVbYZevegvp+6e/Xaa1/+NcrIvZiB3XL4B0iN+wuh8Ybd11MZY2XTXsLyEiOZ/yArrz81RJ0I9iAN1rqJzikVrE2xzYxmosbe57MC9u+q8+GdwqVJGcMF3UeCwTU1n4q3MI3+9ZQ7K2kW2xbTssYwoDETo1Gyir9tXyevbLVmqbo0kQ3AltaLTXqEIgOJDljeGvs75mVs5r/7V5EgaeMWM3NFd0mcEWdN57nKbN8f63hw2P4idYOfPbf2DGfMl9N/ULBROIx/Ty04TNObNsnKIJhYxOJYb8NmC+E2Fn3ugtww2Gb0TFMn05pQXKrDWloO3XDpLzawycL13HlKZEt1CYMzMTl0Cyz+hURPH7g+m71YjCDu2ewensOi9ZnsTOvxFKrXlMVpJQhXnvntDYkxYVPlLOxubTLCXSLTeN/WT9S4q1ifNveXNx5HPGOKAxpcvvKN1lZsgtf3T756tIsZu5dQf/ETpycPoABiZ3onRBcfZFfW8aVi5+lWvdFnIF+JElxxZHojOGSridwSdcT0E0DVShBC5XO0alsqQyVWo53RBGlOoOOLSzcEuL9Q6ByYG9NMV1j27b+Q9gctTRp2KWU3wghegD7251tllJaZ2rZNEpxRU1Y43swXr/O0s17Ijbsmqrwr2tO466XvwwxvlYO908bsqis8ZBXWsVNT32Mx+cHBB6fjqYogRB9AxRFkJoQR2llTSDhzaGhaQoPXjUVCEjhVnt8dGybGFZL3ub4ZXRKD0an9Ag5PjdvPWtKs+qN+n50TNaUZbG+fA+aUBmZ0p2HB19a75k+teUbynw1jUrGtiYaCkYz7ra8eAcew4e7zkBbedQ395rKHaveDlqYaELhyq4TQiIVCY4osi3uY0iTOM3eBrMJJtJyt2EEPHUNGCSEQEr51mGb1TFKakJMxNcqQtA+pXnZ5pMGd+fha8/giY8XkF9ahRDhE+cM02TW8i28/PUSiitqgs4JAguF/ZUBbqfGxEGZ/N8VpzJ3zXbW7sqlY0oCp4/sg1fXufqx99m0pwBVUXA7NR644hTGDwjtaW1jczDf562j1gjvcevSRJcmy4q388nepfXh+0VFW46YUYfAQqM5KAiWF+9kfNvw7Z9HpnTn7n5n8eC6T+qfRUrJyzvmMCqlB5lxB7pGXtJlHA+u+ySoJE8TCv0TOpLittsb2wTTpGEXQrwNZAJroL58UwK2YW8mUS4HF4wfwMc/rgvSUxciYEwb2mCnQ+XiiYObfY/JQ3tw0pDu+HSD8bc9S7iKRa9PZ0NWXp2nfhACOrVNxOPTiXI6uHDCQM4fPxBVUTh1eC9OHR7oFS2l5Jp/zGB3fkndAsKg1ufn7le+4p17LrXbrx4D+Eyd57bO5rO9K/AYPgYkduLOvmfRMz69VcY/OOQcDo/h59O9y+sNu0vRqKb1A4dW9esuRUOXpmWjmHAYmJT5qoO8disCqnsN3yep1r08vOEzXh59YMdzSGIXTmzbh3kFG+rn0yWmLf8afEnEc7I5fojEYx8O9JW2iHercOv5JxLldvLe3NXUev1kJMdzw7QxfPLjOjZk5aEqArfTwd+uOIXMjJSmB7RACBFSE38wbpejTgwmNDlJSuiQksh/bzq70TE27s4nt6QiJCrg1w0+WPAz9158UrPnbvPr4s9r3mNJ0bb6OvGfy3Zz/dIXee+EW0iPOrQuZKtLdrGnuijQLjKC68t81eTWlLK1Mpfxbfvwzb41TdavN4cMdyKZce04NX0g/9v9E1vK9wECScA7bo5h95o6j2yYycMbPmVgUhdu7XUavQ7KE4BAyN6qVn5t2Z5AfbyU/GvDp3ybuxanooGEbrHtuKPPGfRJ6HAIT2tzLBOJYV9PoI499zDP5bhAVRRuOnMsN04bg183cNYZ4DNG9aGwvIoaj58OqQmtsk89cWAmc1Zvs/zS7N2xLRdOGMSr3ywLORfl1JgyNHQ/9GAKy6stO1kZpiTH1nw/6smpKWFx0baQ/W+fafB+1iJu63NGi8eevW8N/1z/qaUGfDiKfVWct/DfuFUHumGgKSqGkJZJZS2hyFdFSfEOfizcjCa0uqYzssVVHz4Z+L2tLNnJVUue54TU3jw0+JKg/XanooX8fgE0JdBC5rVd8/kudx0+U6+/bnNdpznbsNuEIxLrkQJsFELMFkJ8vv/ncE/sWEcIUW/U95OaEEvntKRWSz4b1adT2HN78kvw6yZ/PHc8bqfGfvsc5dTo3j61PtzeGP06p1l2onM5NMY0s12tza+PPdVFOCySvnRpsKXiQDZ3je7l0z3LeGj9Z3y4ezFVTeifG9Lk8U1fNsuoN3xvte7FK3VqDR+94tItu7e1BJ+p4zH9SMAvWy8SAIF5LyjYyOnzHmJe3vr642e2HxbwxBvgECqnpg9CCMGM3YtDsv59ps7n2SsjUrizOT6JxGN/4HBPwubw8O2KLWFDnKXVHl74cjH3XzaF/l3a8fHCtZRXe5g8pAenDu+FQ2u6LjY1MZbzThjAZ4vW1+cMOFSFNnFRnD22Xys+ic0vQaeYFMvmLJpQ6xXP8j3lXLXoWWoML7WGH7fq4KXtc3h9zI10iLbOscivLcfbSMJcpJhINlRk4xQqvlby2g83Zf4a/rr2Q/4qTU5OH8iNPU9hR1U+P5furg/394xP544+gW6K1bp1HoGvrmVsQxEbG5v9RFLutkAIkQaMqDu0TEoZWSskm18Uq9ao+zFNyfyfd3D/ZVMY0DWdAV1blgx150UT6dsljffmrqaq1sekwZlcdcoIYm152KOe9tFtGJvSk8VFW4P2sp2KyiVdxgHwxKYvKfVV1yeceQw/XkPnoQ2f8eyIay3HjXdEhWjHHwrNMupSwi+sw+41/Tyz5Ru8ps43+9bgVFR+3/MUkpyxdI5JCarZH5TUmeXFO0LG6B6XhkOxe3jZWBNJVvxFwGPAfAKZVk8LIe6UUn50mOdmc4icPrIP27KLwhr4KOehfzEIIZg2qi/TRvU95LFsfn08OPhint/6LZ/tXU6t4WNgUmfu7Hsm7aISAVhUGFp2JpGsLN6JGcajjHW4mdC2L3Pz1h/RkrVfE7meMh7Z8Fn9gmllyS5OzxjCqRmDgq67vfcZXLvkRXymH12aqAgcqsbdfRtPbLU5vonkm/3PwIj9XroQIhX4HrAN+6+cc8f1Z9byzazflYd5UFGD26lx4YRBYd5pYxPAqWjc0vt0bul9uuV5NUwoWBEC0cje9829TmNOg73mxtCEiiGN1lkChPHW1WZmvbcGDaMgtYaPL3NWcnHnsXSOPaDYnRnXjv+N+yPvZi1kY3kO3ePS+E2X8UHX2NgcTCSGXTko9F5MZEl3Nr8wzrouarOWbeLfHy2gxuuvl4Y9cUA3Lj1p6C89RZujnKkZg/kie2VQJzNNKJzUrn+jOu8FnnJiNBdVemiinVPRcKsO+iZ04MYeJxPviOaSH59sUbJdpPSKy2BjhZW2W+sTfhEhWF6yI8RoZ0QncWffY65Lts1hJBLD/o0QYjbwXt3r6cCswzclm9ZEUxXOHNOPaaP7sm5XHrklFfTp1JZObQ+tBtnGBuAPvaayqTyHrOpCTClRhSA9Kok7+zRuiNKjEi3LvAQBnfWxqT2Z1n4YfRI6sLu6qNkhe0FAQCnwouk9dSvN9sNBghZN/8QOLCveEdLWVRUKCQ7rvgtSSqp0D27VYe+t2zRJk21bAYQQ5wEnEPi8/CCl/PRwT8yKo71tq43NsYiUkjWlWeysKqBzTArD2nRr1FuHQDb9ZT89RYW/1vK8gsChaFzX/SQMKXl+27eW18WoLmoNX5Dhdyoav+95KkOiO3HdkhfxOowjkjAn6qR2xEHqdYLAdkKU6qBK9+IQKjqhSnaxmouvJ90bolS3uHArD2+cSaGnHEUonJYxhD/1mYZLdWBKk3xPOTGam3hH5G2ebY4eWtK2NZJ+7F2BXCmlp+51FJAmpcxq6URbim3YbWyOfkxpcv4PT5DnKWtyX9shVFShRByGF0CHqGQ+PPE2FKFQ4q3ivB8ep8bwtcLMG+eMjCG0j27DrH1rMEyTRGcMDkUlzhHF0qLtQbXxmlABiUt1ICW4VI0nhl5Bv8SOQWNuKs/hhqUvBT2/S9E4IbU3p7cfyr/Wf0KV7sWUJiNTuvN/Ay+yDfwxxuHqx/4hMLbBa6Pu2Ajry21sbGzCs6pkF6W+qoiS1RQRqt3eGBIo9lWysmQXI5IzaeOK5YWR13HDspfRTQO/NHAKDYkMCYUfKrP2rUEVSv24xb5KMuPakVtTEiJ4o0sDh1D5x8DpxDui6JfY0TIR8a2dC0Jkc72mzoKCTfxYuDno3LKi7dy56m1eHHV9qz6XzdFHJIZdk1LWL3ellD4hRGSdG2xsbGwOosBTEbGpVlDqpVkjxZAmO6vy0U0DXRoMbdONGeNv45M9S5mbv57smhKU5ub/RlD/biIxGywWvKbO5vKcsAsTh6LSMSaFzjHWPSEMabKhPNtSSx4kvoOkbv3SYGN5Druri8KOaXN8EIlhLxRCnCWl/BxACHE2UHR4p2VjY3Os0jehfeSlZQKGJ3VjafH2Zt3jv5u+rhfBEcDktP6sLs2i2FcF0DKBnBaI2zQWbTCRpLkTLM+V+ar57ZIXKfRWWJ43pPXImqJQ4Cm3DftxTiSG/XfAu0KI/T1As4ErDuusbGxsjlkSnbEhugoQKJMTiDp9+oABfWzob+iX0IHT5j1EbYT75AeHriXwfX5kNfNhESJg2FuRczuMxK06LM89smEm+2pLLBdAbtVB99h2bK3MDaks8JsGPeLateo8bY4+IpGU3QGMFkLEEki2qzz807KxsTlW+WzvMstAuILC0yOuocBTjlPVGJPSoz5D/MuJd3Hm/EebTIJriW68iiAi+ZtWzKxXEdzY42Sq/B5e3zmf7/PW4RAq53QcwfROY1hQsBHdwqgL4I+9TmNS235c8tOTGKZZH31wqw7O7ziKRGdMq83T5ugkEknZNOBfQIaU8jQhRF9gjJTy1cM+Oxsbm2OOjeXZlsZXU1SKvBUhsqoAcY5o5p/8ADN2L+adnT+Q5w1tCxyrulqU/d5KmnbNQlVUlhZv59mts8mpKalPuHtp2/esLN7RyL68xgWdRgPw9ribeXnbHBYXbSXeEcVlXcdzRsaQI/YMNr9eIgnFvwG8TkBaFmAr8AHQYsMuhHgMOBPwATuAq6WUZS0dz8bG5uihe1w7FhVtDQkjm5h0amJv+KLOY7io8xiWF+/g+a3fsqMqnwRHNBd0HMUrO+b+arTn47QoohQHxX7r7H+fqXPfmvdQGmTRA3hMPytLdjEgoRPryvYEPY+KwvjU3vWv09wJ3D/gvMP7IDZHJRH1Y5dSzoBAvEdKqRMoeTsUvgP6SykHElgo3HuI49nY2BwlnNdxZEifd4dQ6RGXXt8OtilGJGfy2pgbWXDyA7w59ia6xrYN2Vs/LEgZdq9dReBUNHrGpfPamBt5Y9zvOSmtP1oYPX1DmiG91iGQEzA2tSdJzhii6rYiolQnya5Ybu8zrdUexebYJRKPvVoIkUzg7w0hxGggNA7WDKSUDWWklgAXHMp4NjY2Rw8p7nheGnU9D63/jA3l2WhCYUr6gGbroUspeWHbd7yb9SOOOsGXw04jSXTTu4zlsi7jSXXH1x/75+CL+Wzvch7ZMDMkE99EojRQqdN+qsL1QQlqicGacYJnHrmaTbFF7KjKp0dcOie16x822c7GpiGRGPbbgc+BTCHET0AqrWuIryEQ2rexsTlO6FHn1eqmgSKEZXvXhqwq2cU7uxaS7yljZHJ3Lus6nnWlu3lv90/4TB0fR8BbbwS36qRrbFqQUd9PG1ds2PI6VSiY0sD5WSnuN4sR3oCR3/TVRm6b/xeeW/EI03oPO6xztzn2iCQrfpUQYgLQi0BS5hYpZZP6jkKI7wGruos/Syln1l3zZ0AH3m1knOuB6wE6derU1G1tbGyOIrSDQvIA3lovVWU1JLaNR1VVvsheycMbP8NvBnYAd1YV8FXOKtpHJ+ExDl/Ht0YxJSgHsuQ1oTCl3QDLS7eU51geF8D5nUaxMHsTlW9trzfqANKUeGu8vPvgR9z95s2tOnWbY5+whl0IMQLYK6XMk1LqQohhwPnAbiHEA1LKksYGllJOaey8EOJKYBowWTYiWC+lfAl4CQJa8Y2NaWNjc/RgSJOlRdvIrimhfVQbFudu4rv7Z2N+V4wqFGJio7n235fzUNpc9AYJZoY0KffXUlvZOkZdAF1iUnGrDjZVWHR5ayhM4zVR19ZgpjuQbR2gCVAEHt3Hn1a+xT8GTSflIK9diP3tYYJxKhqdYlL4b/uL+YO2Fg/BLWxNw2Ttwo2t8ow2xxeNxb9eJJC1jhDiROBh4C0C++svHcpNhRBTgbuBs6SUNYcylo2NzdFHkbeSCxc+wX1r3uOpLbO4fdWbfHH35xjfFYNPYngNKoor+e+/3kDXQ8PsEmmZeNYSJFDkrWKouwsinCCdlKCbIMDoF4VMcaDs9e3X0UHHZE3pbn637BUO9lOqda/l7r/X1FlZshN3SjSG3zofOTe+hv9l/djiZ7M5PmnMsKsNvPLpwEtSyo+llH8Buh/ifZ8B4oDvhBBrhBAvHOJ4NjY2RxEPrvuE3JoyagwfPlNH1hg45lUhfMEm0Cj00hL11+bi9/n5/OIPkH6LmwkR+FEFOBWIVsGtYHZzBYnWGJgUeMr5Lm9t0Ntn5/4c9r4LCzbxj90zOeG8UTjdwYlx0iWonZ7EC1u/Y2N59qE9oM1xRWN77KoQQqsrb5tM3T53BO9rEinloS4MbGxsjlK8hp9lxduCEsqUMgNU4CAnXCk1UDfVYgyMbt5N9nvNEarFmV8Uomz34Hq7GO/lyQdOqCIQbrcay2Jsj+nngbUf8er2eTwy5FK6xLalWveGva/PNPi5NItbn/wdRf5K1s5cCwpIp8Dz2xSMIdFIU+fz7JVEqU5e3zGfLRU5dItN4+rMifSMsDzQ5viiMQP9HrBACFEE1AILAYQQ3TnEcjcbG5vjF2nRr8xM1erD2g0RisA9p5Lq5hp2j4SoyDq4Ca/E9XYxAO5PynAuqsI/KhZMibrFQ/V/m5e0q0uDrOoCrl/2Ml9OvJuhbbqyqHBrmC5tgQTCQlnFaU+exarLfNSW1SJTtMCigkBZ3L6aEq5c/Cw+Q8dEsqu6kHn5G7i9zzQu6jymWfOzOfYJ+5cvpfwncAcB5bkTGiS4KYCdpmljY9Mi3KqTfgkdgu24Q8FzeTLS1eCoAFe0i2vumY5L0XArTtybfUT/JYe4K3cR/bcc1K3BCWeBvXAJjsg89TjNDR4jaAtAydNxzSzD9UU5orpl+wCSQIe2k+c8SFtXPNGq02rdAgQat3SLbcvw5G7oUSDTHPVGHcCtOMjzlOEx/EFKdCaSf2/6gu9z11oNa3Mc02hIXUq5xOLY1sM3HRsbm2MdQ5qkuuKD/FcFgXFuMr5kJ44PitFKTAaN7cuND19B1/6dONs/ng8+mc0nf56BXhuI14siHW1tLdX/aI/RPyowkBCIAh8yXoXY0FK6g+kUk8IG3YPRw426xROUPCddAt/UeLQfK3F+WY6oNfGPj8U3LRHckUUDag0fX+9bzfDkTFKd8Xy+b0VQZzuX4uCkdv1Ii0oEYGxKT+YXBGfCOxSV7BrrIiRJoBPcpHb9UZvQArA5frD/EmxsbI4YGxdv4dbrH2LJowtR9hzYe9Y2eEi/rQDXw/uIK1G57JZzeGjmvXTtHwiDxzuiWPx/8+qNOoCQgTC6+6XCoHsoZQbOr8rB07S3Ha26cKsOau5ph5mqIaNEIGrgEqgjEnCWSKKfyMexthZtmxf3OyXE3r4XfJF78l5TZ3nxDq7KnMiME25jQts+RKtOUlxxXJs5kb/0Px+AMl8Ni4pC/SZdmrjV8D6Yx/STV2u32rA5wCElwdnY2NhEgpSSp//wCt++uQBvjRdVhdhPBZ6rktEHRuO+fy+VdQIt1WU1zHhsJqX55dzy3HUAmKbJ3s0WNeaAuqtBclqtifPLchwLK5FpGv6xsYGwfJgkupUlO+kZl87W1FxqXu8GFQbqTi9GooKMVYi7djfCf8DDFj6JkufHsaAK/8mhKnPhcCoaWdUFjE3txWNDL7e8Zk1pFg5FDWmOU2v46BrTlmq9wHKX3kQS74iKeC42xz62x25jY3PY2bh4a71RBxBGwEi63yjG9UYRHFTm5q3xMfv1eVSWViGlZMGMxShqmK+reI1o1YUDBff8KpwLKhEGRD+aT/If9iEayYw3kWyu3IeJDPzEK/gHR2F2caFt8Fi6PsIj0ZZXhR5v5Pn9pt5k57pozWkpQy8Q9EvowKiUHiHnHCiMS+1NnG3YbRpge+w2NjaHnYUfL8FXa9ErXYC23YuwMGgOl0b+7kJevusd5r3/I6YRGv52Rbs4+faT6dt/CAMSO5HbJpf/umZQUFlGZ38SN187nb/5v2JPTVGz52wmWu/RSxXUFBeaUFCEwFcndRtOFtOpaAxrk0mH6OQwVwQYmtQVl6pRYwSXx7kUjfM6jaJfQgee2zqb/2X9hENR0aXJsDbd+NsAu4eWTTC2YbexsTnsaE4NoQikYWH+9ECu98Eer9+nY/h15rz7Az5PqMqc5tQ475bTufq+SxBCsLE8m9vLZ2BMMfGZ0dSoJi9qixiyJpE9GQXgal6A0ugfhYxRwaMHLTzcLif3338zjs7R3L7qLRrrYr2/jWv/hA5kVRXQJbZt2Gs1ReXp4VfHUFtFAAAgAElEQVRz84rX8Ro6QgQy5m/qeQr9EzsC8PteU7kqcxJZVQWkuONJcyc065lsjg9EIzLtvzqGDx8uV6xY8UtPw8bGppnsWrebm0ffh9fKa7fAFe1i6jWT6DagM8/d9kZ9CL8hU6+ZxLXPXcXn2cvZWpHLoqKtVOnB5W8OqeJ8IR+Z46Xm7xlBjVsiQdnnI/qBfSiFOtFOF4qqcMcrNzH+vFGsKtnFHaveCitAo6JgYqIKBUmgUczVmZO4JnNSo/fUTYPVpVlU616GJHUhwdnMGn6bYwohxEop5fDmvMf22G1sbA47XQd05sq/T+eNv7yPUARCUfDWeJFmqGMhFMEl957Lxfecw5IvVqIetLduZDjwn5PED2NL+HTewwD4pHXbVr8wMCbHEndrKdSaENN0CVzDpi9mhpOqpzoS9XEFf774tww9eSBogpyaErrGpAaVrh3MfmU9XQb+NaTJ6zvmMSmtH12b8NxHJGc2PU8bmzDYht3GxuaIcOEdZzFx+jiWfb0KzanxzM2v4qkO9XYVReGcm09DVVVGnDYEzaVBZeCcPiiK6r9lgCbI1WrCb2xb4Py+Et/U+MhC8j4zkNDnFGhLaoj6pJTtvXexo18tL22bg0RiSpOBiZ1YW7Y34oY0ujSZl7eert1PinziNjbNxM6Kt7GxOWKkdkjmjOtP5tSrJpGUZr0/rDlV3NEuAJwuB4/PfYC0Lqm4YlzU3t4uIA6jRRhS95g4v60AwP1GEeo2b8BzrzXBkISkoftNlNU1KLt9AUlaRUCMgt8NqzZt5YWt/9/efYdHVW0NHP7tc6alktA7BOm9F0FQkK6AFRti7w27ci2I8olYUa+KXlSwi11URFFBERCkg3SQEgg9fer+/pghMMyZFEgICet9Hh4mp80+M8ms2XXNJNvvJsfvwR3wsfK7lSTdtJUKQ9YTf/1mbL9nFFik/EbpC1EcpMYuhACCGc6Wz/kHtKZlj6Y4XI7jul7mgSx2bdlN9fpViKsQF7H/4vuH8cY974bV2p0xDgZffzam7XCTeUrLukzd8CqLlqzmzl0fEog2WM0dCGWC08EsbB6NbVUOjhnB1BbKrYm7fxv+Rk4C9Z2oXV7cl1bE38QVrPlrMPZ4CTR2QayR1x/vaxdL9oQ6rN+aGbbmje33DGzP7SI3NP/e3O4l9rld5Pg13l7Wc9xtyqB3tZaFfxGFOAYS2IUQLJ61nDEXPBuWS/zhD+6iy6D2Rb6W3+/nldsn8+M7v2Bz2PB5fAy+oS83PT8SwzjcSDj4+rPZu2Mfn074GsNm4vP46H1ZD65/JnIBF6UUTVqmQBqhIKwtsq1BzNM7oKKdQLKJbUUu5oqcsNH2CrCvd9O0cl02rtuC/aHt+Bs68ac4MXf6MFolkH6hPXyQnU2hK5gcqGCA9uc9r+vtvSh3eI1fuTWut/dSoV8t2ibV47e01Sil0GgUihsbnU29+CpFfk2FKAoZFS/EKS5jfyaX1b0por/bGeNgyoZXqFg9uUjXe/exj/n0ua9xZx8eAe+MdXL56PO59KHzI47PycolbctuKtWsSGxiDAtnLGXRj0tIrJJI3xG9qFrn8MIudy58m/nb1xHw+4N50Y8U0Dh+OEjMK7uxogxAKarVq8Jdr9/AT1Nn89snf2J32vB5/FwwajDbL7DzTdrisGs6P9iH84sDKI8mkGCQe01lvGcnknjOurC15Q8/Efzo+wSlFJsy03hz3c+kuQ/SrXJjLqnfnTibsygvpzjFHcuoeOljF+IUN2daRK4nILgM7K8fzS3y9b6Y+F1YUAdwZ7v57MXplsfHxLmo17wOMfEuHhrwFGOHP8/nL33H+2OncU2zO5k/fVHesWNaX4xrZyBqSlYdZTpbq57NME0TArBrUxqPD5uAEW/jwoXX0nP6eTyzaRwXjzmfNH962HnO9/fh/Gw/KtQnbxzwE/PyLmx/ZgZTq1qoVCMZpRQ7cw5w84K3+GPPPyw78C9TNs3mgtnPkpqzP+prJ0RxkKZ4IU5xmQey8Hkip4t53T4yD2YV6Vpaa7LSs62fZ3/kMqxH+um92ayau4bc0Jx1rztYpnGXv8S0tP9hd9jZnLUbdy3Dev1Wr8Y5O/w5DFNRp2ktVv25Fr/3cN98brabGZN/wd1qE74UB18uXUys6SDDe8Q8eJ/G+cX+yOZ2L8S9s59KNzUmfcI6vEckpnHGOhnx2EUsn7OaiYu+5UCtdAIJwS8hOX4Pbr+X8Su/5sWOI/N9LYQ4HlJjF+IU175va0x75PxuZ6yDDn3bRGxfPGs5Yy9+jgcHPMkPk2fh9RyRcU2pvIxsR2vYLiXfcsyc+lteUD/a6nnrAPhg0+/4raaiaw0K/COr4kp2YbObOGIcBPyaLSu34fP6CVS2EUg84iPPq2FeOn4dwB3wsd+bjY/Dbesq3R/M7W7B2OHhxqb9uOWFq6lYPQmlILl6EhffN4SpT0xj9Dnj2PSfhcRfsRHHl4dr6AE08/euoyx1gYqyR2rsQpziGrZN4azh3fn1k7l5/eyuOCddBrenebfGYce+/+Q0Phr/Zd5xK//4h+//9zPP/ToGmz34cXLrxGsYPfj/8OR40FqjDIXD5eCWF6/OtxwOp91yu9YamyN47TR3unVtXSlwKHLqQ4fnu9FmYyU+GPc5AL6WLrLvro5ONkGBuSaX2Kd3ojL9aEf0qWe2hVlgve4NAX+AZ657BXuCkwdn3kvnJk0xTIPL693M3u3B3OmHrux6dy/+xi78zYOJWkxlyJQ3UaKkxi6E4O63buah9+/k9KGd6HpuB+5/5zYe/uCusAC0b+d+3h/3edggu9wsNxuXbWH2Ef30bXq14MU5Y+l+XmdqNa7BGed3YeLcp2jerUm+ZRh43dm44iIHlrlinTTpFFyJrVvlRjhUPqvHOQ3+VJvx+/0E/AECVW1kjamFrm4PLkzjMPA3iyHr6dpopfD2jI96KV+rWMjnqXzZPrLTsvjPVc8yZtVnrPjjH+tuCI8O5ocHbMqkj0x3EyVMauxCCJRSnD6kE6cP6RT1mOWzV2Oz2/AelZAlN8vN3K/+ovelPfK2NWyXwmPT7i1SGXqc15mFP57BT1NnAxrTNDFMgye+eiA48A0YXq87X21byAFPNj5tPZ89oDSfPvcNAO6BFSI/5WyKQCUb2Y/WQFe2biUA0DXseAZWwPHDQVSUmrvSYCzNYua/S9HubMuauNJgZgSINR3UiEnmnubnFvhaCHE8JLALIQolLinOshXcMBQVKicc9/WVUox6/UbOv3MwS39ZSULFeLoN6Zi3Ch1AkiOW97vfzvubfmfqutlo86j57J4A9l8y8IUG3gVq2MEe2TDpiLPj72ADbTVf7bDcm6tAdQfeFi78teyY2zy43t2LbWlO2HEBNDNj1pHsjkxyY4+10/Oi7gxo35sOySmsXbiBeau3U7dZLZp0aijN8qLYSWAXQhRKu94tcbjsZGeEBzW7086g688utuep16w29ZrVBmDL6m3M/vRPdCDAGRd0JaVVPZId8dzWZADxCzy8FvsH2lTBZWaz/RhpPlwfHx6sZluWg69TXMT0OL8/wIjTejF182z8+QR3h2nHPTQJHWqS9zcNrlUfOy4V+8JsNOBrHQN2hXYH8KbYMdf481aqdbjs2B0ONry1nO/mH+TN9amkbtiVd/2U1vUYP+M/xMTHFM+LJwSyQI0Qogg2LtvCw4OeIjsjB6UUfq+f2165lgFXRyY12Z92kG9em8E/89eR0qoeQ2/tT9W6hV917ZNnv+bdRz/C6/EFs8ApqFyzIiOfGE6fy8/AMA1u7vUQ/yTvI1DNjm1NLrZ5magjWui1S5HxWj10RfNwzT03AH6wOW34bJFB3a5M6sdXoXVSPX5LW8Ued+T678a/HuJv2oJOMsh8sS66sg3Xq2k4ZqQfXrRGgWkaBPw66ih4u9NOv5G9uOv1Gwv9uohTy7EsUCOBXQhRJIFAgFV/riUnM5eW3Zvg9fiY++VfuHM8dB7YjhoNqrFjw05u7fwg7mwPXrcXm8OG3WHjuV/H0Kh9g7zrrPxjDft3HaB5t8ZUrlUp7zlSN+3i6qZ3hs09P1L9FnWYOG8cWenZXF7vZgK+8ABt2Iy8bYFEA/fwini7x6PcGvPPDLzDkoPryR9BAQ7DTsukOjzXfgQxpoMuM0Zbvwh+jXPKHtyXVwK7wljvJu7urRhRlrHPjyvOyTcZ76G1Zt3fG8nYl0nTzg0t19cXpx7Jxy6EKHGGYdCye1MA5k9fxNiLn0cZioA/wKT7pnDx/cNYv3gTWQez8/Kt+zw+fB4fL970Bq8uGE/qpl3c12cM6XuDtWF3tgdXrBNXnIs2ZzanQtXEqEEdgk3017UcRdqWPRH7XPEuqtevzOYV24LlTQ8Q8+YeYt4MHuvul4DXEdnvbiqDF9pfScfKh3OhV3TEs88TubBOjHIQcBo4vjiAbWk25oqcYwrqAF63l9RNu3howJPsTT2AYSh8Hj/X/t+ltL22E3/v20RFRzzdqzTBaUYf7CfEIVJjF0Ick+yMHC6ucT3uoxaVccY6CAR0xOh5CA60+ybrfW7t9ABbVm3LC/zFpWWPplx497n83xUTI8ql7Qpfyxg8Qyvg6xw5zc1umHzV8z4qORPyBrR9vHkur66dQe4R+dZtfoXzrT3Yvtp3+NpYT68viDIUHfq2YeemXWxfvzPv9dAKPPfWwH9WBQzDwFQGNsPgtc7X0SihxjE8kyirZK14IcQJ89f3izHMyI8QT643apAz7SapG3eSunFXsQd1gB0bdhIT74oI6gD4NYFEA33QT1j+VcDc7aPi2N1ckXgDg2Mv4/+umEj6vgwurteNHvvqorIC4AlAlh9zShrMT8c9MJFDd2A5W8BUlq+PaQtuc8Y4SEiOY8jN/dizfV/Y6+HtlUBu11i8+HEHvGT73aR7c7hn0VRZtU4USJrihRDHxO/zg0WQ0QFNnaa12LZmB+6cw9O/7E4bZ13aA3e2B8PMZ+WX47B/10H27TpguU8FwPF7Jo4FWbg3uvFfVw2b3Ybh1thHbcZz0EfAr/H7YPanc9mwZBOjP7qLJVf/RILXh443UZl+VAC0Q+GtYsN9QTKuz/bn3Z/WwZHwXrePLoPbE1chll8+/D0vfW3fkWdSs0E1NizbQsO29RlwTW/WL94U8QXAMzDRMtHNQW826zN3Sq1d5EsCuxDimHTs3zYY3I/iinNy7f9dzvQ3ZvLXD4uxOWz4fX6admrIbROvwe60Y5glM3dbBzQv3jgp6n7lB3I0rq8OcvX5w4g5syrbP1/PDPdGcv2Hv6T4vH62rd3Bjd0fRPuDwVylH75X5dHYF2STNbZmMFFMIDgP//UlE/DkeKhUsyLJVSsAcOOzV7Jry25qpFS1HBDXpFPDyPEENuvXR6HwBo6xM1+cMiSwCyGOSWKlBG5/9Tpevu1/+H1+/D4/rlgnZw7vTsd+bejUvy3b1qWyZeVWajWqQf0WdfLOveetWxg/YiIetzffJnllqCI32R9qhtcG1vnSQ9Z/vYZHR5zDa1tWReSiB8jpHov7vCTiH9gesfKcBnQFMzh/Pd7Alq3oMrgDdZvUirhOQnI8CcnBPv1AIMCiH5eyeNZykqpWoM/lPalUI5kbJoxg0v3v4clxozXE/JFNVgMX2hke4O2GSWOprYsCSGAXQhyzAVf3pnXP5vz8wRzcWW5OH9qJZl0b5w0+q92oBrUb1SAnK5dZH8whfW8mbc5szhnnd6Fu06f5+rUf+fb1GQT81sH7uPrhNQQSDFRmAGVxmbR/dwOQ0qoerjgXuVmHU7YGkk1y7qoGDkWgmh1jmyf8S4ICb5sY8GhUZoAAivnf/c3CH5fSsV9kRjwAn9fHwwOfYvWC9eRm5uJw2Zny+Kc88eX9DLllAA3a1OerV39g/64DJDgSmLFxO776jmCTvCeAzbQxtuNwbEbJdGOI8kNGxQshStSahRt4oO8TBPwBfF4/hqk444Ku3Pf2rRiGwdv/+ZDPXvg2rD/eMA2SqlVg34791hdVQCE+upTNQKsAHDVA3+aw0fPCrhimgdftY9HMZWQdzMr7IuHul0igngNzo5tARTO48Ex6IGyQnHYqPF3jcP52eDpcQsV4pqX9D8OI7B//4uXvePP+9/C6wwuTUDGeT3e+hWkLBuw92/cystHtuD1efJ3j8LWNRe3zEfdHLm/MeIp6zetEXFuUX2VuHrtS6l5gAlBFax05IVUIUaYFAgEeGzqerIPhWc9mffA7W1Zu5YwLujLgmt7s3raXXz+ei8Nlx53jIaVVXXZv2xv9woWtj/g1590+iO/e+vnwSHkVnFc/68Pf867jjHVSqWYye1P3owMa58z0YFO+H7Qd8EaOfFdujeO38DnuGfsy+eyFb7noniFh2+d8No/XRr1j2QLh9/pZu2gjzbo0AmDuVwtBKVQA7POysM/LCh5oM5g9bR4jHpXALvJXatPdlFJ1gL7Av6VVBiFEyVr39yayM3Mitgf8Adb9vYnJoz/kqiZ3YNpMpm58hTFf3k/dprX4d9U2Duw6eNzPr7Vmxju/cO24y0hpWTe0kfD/CfbL70s9gN1uC3Wgk7c0rYqcjp/Haojbh+M+x+8/PMBt15bdPH3ly1G7FbTW2Oxm2M/Wx0XfJ8SRSnMe+wvA/RT+u7cQoozxe30FZi8L+AP8MHkWr416h79/Ws62teHT5I5XdnoOP38wB5/FCP6jy+GxWFQHirb4jMftZc+2w4vX/Pz+bAL+6KP4YhNj8Lq9rFm4gUAgwOlDO1lOI7Q7bPS8sFsRSiJOVaXSFK+UGgJs11ovlZSFQpRfTTo1zOs7Lshvn/yJYSgCJbBwzZoF64v9mtEE/Jr45MPT2jIPZOP3Wid0tzls5Ga5eWjAU2itiU2I4fEv7uPGZ6/kjXunEAgEE8iYNpNLHhwWNrNAiGhKLLArpX4CqlvsGg08DPQr5HVuAG4AqFu3brGVTwhRPHKz3fw0dTaLf15GtfpVOOfGftQ8Lfinb9pMHv7gLh4/fwJetzffmitQIkH9RHK47HQ/rwtxibFAcIxB/ZZ1cMQ4I1bDM2wGhqHCxh/kZObyYL8n+XDb63Qa0I45n80j4A9w+rDO1G0aOZVOCCsnfFS8UqoV8DNw6Le5NrAD6Ky13pnfuTIqXoiTS+aBLG7t/CB7d+zHne3GZjcx7TbGfHEfHfoenva1N3U/X7z8HZ8881WJLCVbGDa7iS+fxDL5nusw0QEsF+Q5xLSbdDu3Iw9MuR1XrJO/ZixhwlWvkJ2Rk9fEf+jeXXFOGrZLYe3CDRHN/zHxLm5/9Tr6juh1TGUV5UuZWCtea71ca11Va11fa10f2Aa0LyioCyFOPh8/8yW7t+7Jq436vH7c2W6eueoVAoHDtfNKNZK5btzlPPjeHQX2uZcUZSiadG54jOcapLTKv8VwxCMX8ti0e3HFOtm2LpUxF0xg/66DuLM9YQG950XdeHTavbTo3tSyT9/n9ZGxNzKjnBCFJUlghBDHbM5n8/G6I/uPs9Nz2L4uNWJ770t60KJ7kxNRtAhet4+NSzcXus8/7NxcL+4cDzHxrqjHVKlbOe/xt6//GNE6oAMapRTn3TGITv3b0q53S1wW1zNMg9ZnNi9yGYU4pNQDe6jmLnPYhSiDYuKdltsD/gCuOOsgePYVPXHGWp9X0rxuX77N6fnJ2JfJRfcNsdxn2kx6nNcFj9tLIBBg5+Y0y3zySin2hhbdadenFc27Ng57LVxxTroP60zDtinHVEYh4CQI7EKIsmvorQMjgrRhGqS0rkeV2pUsz+l31Zk07tAgr7ZaUglhiltK67p0HtiOtme1DNtu2kxGjr2Yq5rcweCYyxhgv4R/V2/DEWOPuIbP66NpqDvAMAyemv4Qt750NS17NKXNmS0Y9caNPDDl9hNyP6L8kiVlhRDHLBAI8OKNb/Dz+3MwQ4usJFetwIRZj1O1TuWo5/l9fv78ZiELvl/MrA/m4M4uvnnrJ4LdZadj/7b0vKArtRtX545uoyOmnhumgWkz8roqXHFOel9+BqNev7EUSizKqmMZPCeBXQhx3FI37uKfBeupVDOZlj2ahq2VvmjmUt559GO2r0ulbrNaXP3kpbTp1SJv/0DnJVFHqytluVbLSaPfVWeyY/1OVvz+j+X+Ppf3YMUfa4hPiuO8OwbRb+SZpTZ4UJRNZW6teCFE+VCjQTVqNKgWsX3uV38x7rIX81aSW/nHGkYPGseYL+/Pmw7XuONprPpzreV1T+agDsE17x2uyCb3Q3775E8M0yDrYDbuHI8EdXFCSB+7EKLY+P1+Fny/mM9fms7iWct57e53IpaHded4eGToeD56+gtyMnO4+YWrcMY4SqnExyc4SDD6QECf148n10vm/iwm3TeVWR/MOYGlE6cqaYoXQhSL/WkHGdXjP+xJ3YffE8DmMMnNckc93u6yk5AUx5Bb+mPaTd555OMCR6zb7CbVU6pSPaUqC2csLe5bKDJHjINzb+7PZ89/U6jj6zSpyeTVL5VwqUR5UiYWqBFCnPy01vz2yVzu7f04t3d7mC8mTseTm/8At6eveInt63fizvLg8/ryDeoQnBu+b+cB3n38E6Y8/gnKyL+Z2rQZXDDqHN5a+QLn3tSfhIpx+R5/vJRSXPbwefk2nysFVzxyAYmVEwp1zd3b9xV8kBDHSfrYhRARXrplEj+/NycvOG9avoVZH/zOC3PGYrNHfmy4c938/dPyY3ouHdCWi9wczWa30apnMy6tcxP7dx44pucqirMu6U6DNvWxO21Rs751HtSe7WtTo+4/WkpLSeIiSp7U2IUQYbavT2Xmu7+F1bjd2R62rNrGH1/+ZXnOoh+XHffzKgV2p53YBBeGGf7R5Ipzcs7N/Xht1DvHF9QLOXbNsBnc8OyVZO7PyjcxjdfjY+uaHRgFtDYAOJx2rh8/orAlFeKYSY1dCBFm+ezVEYEVgpnHvnrleypWT6Jlj6ZhTdQHd6cHg+ZxDtk595b+NO/amPQ96bjiXCybswrTNOhzeU/iKsQy/Y2ZRbqe3WkjNjGWjH2ZGKYiqUoF9hSiOTzgC/DdWz/R7dyO+XYR/P3jUhbNWFJgchnDNBj/06O07N403+P++mExn784nQN70uk+tBPDbh9EfFLJdjmI8kcCuxAiTIUqiWHz0I+0at5aRg8eR7X6VZjw82MkVanA3tT9fP3fGccd1A2bSd8retKw3eHlVPteeTjD2ao/11h+4YhKBZeQPbg7HbvTjmEoajWqwZ4d+wpV1veemMbHT39JSsu6bFy62TJ4H2qCN0wDrXTU6xqGomL1pHyf76PxX/D+k5/ltZT8u2obM975ldcXT8hLAytEYUhTvBAiTMf+baLOzfZ7/eRk5rJ1zQ6eu/Y1tNY80PcJNi7bctzPG5sQkxfU509fxEMDn+KO0x9m2vPfkJOVS8P2DYr25eGIY73uYBKXVXPXFPoaAX8Ad46HLSu3MviGvjTr2ojkaknEJMRYHpvfdQ2bwYLvF0fdn3kgi6ljPg3r/vCEBhcWtZVCCAnsQogwdoedCbMep3pK1eAcbYuWaL/Xz8IZS1jxx2p2bdkdDGwWlKGwOwrXMJiTlQvA2498yJOXvMDCGUtYPW8d7zzyEXeePhq05u63bj6uOe9eT8GD9I7mzvGwaOYyJs4dxyepb1KljvUa+AWJlhQHYO3CDdidkV+mPDke5n276JieT5y6JLALISLUb1GHKetf4aU/niI2PrKGCsFV4dL+3Ztv87gOaGISoge0MAHNvp37+fTZb8IH7uV4SN24i5/fn0Ovi7rx0twnC8yNXtz2px0esNeud8u8dfELy+f1031Yp6j7K1RJtJzDr5SiUq2KRXouISSwCyEsKaVo0Loe3c/rbJnDvF6L2rTp1bzAWnDGvsxCjUY3bSYr567F7oys4edmuZk3PVhz/fzF7yxzvZek5t0a5z2+5IFhxFo0x+encs2KXFH/FgbFXMojQ54mddOusP0NWtejev2qEV+SHDEOzrtj0LEXXJySJLALIfJ17f9dTlLVRFyh9KwOl53YhBjum3wrlWtVYtB1fSyD8SHKMGhxepMCn6fzoHYkVorHajVMwzSoWD2JjP2Z/PLRH4WeN37o3MLmf7fZTcvaeOrGNFb+uYb53/1NwB9gws+PFrigziHKUOxL3U92Rg5et48F3/3NbV0eImN/5uFjlOL/fhhNg9b1cMY6iE2MISbexW0vX0Pzro3zuboQkWRJWSFEgbIzcpg55VdWzVtH3aY1GXhtHypWTwaCq9R9+PQXvD36Q8tzW5zehFGTbuSO00eTnZ5jeUx8UhyvL55AlTqVuCLlVnZv3RO23xnjYOKf4zBtBrd3e5icjNxCldu0GQy4tg9NOp7G5P98yIFdB/M9/uhUq3lUMPjGJsTgcXs54/wuLJuzij1b858653DZ8Xn9EWMQnDEORj4xnIvuGRJxzra1O0jfl0nDtvVxuMrmGvqi+MiSskKIEhGbEMPQWwfy0NQ7uHz0hXlBHUJLrz50Ph36tcYww2uxNoeNRz69m3rN6/DOmonUa1474trKUFz5+MVUq1cFrTVte7cMa7o37SajJt1Ig9b1qFa/Kn6f9UA9K35fgO/e/ImG7VK4beK1OGPzD5QBf8B6FTwdHC+QdTAbb66XP75YQFyC9RS0qvUq0/uyM+g+rDMDrumNw2KwnzvHw7pFGy3Pr924Js27NpagLo6ZBHYhRLF44ssHuOieIcQnx+Nw2uk8sB1v//MSlWoEB3/FJ8eRunFXxHk6oPnq1R8A+PD/vmD2p3+GTR2z2U32bN+H3+/nzQem4vdGBl7TZkZtbtcBzeMXTKBDv9bUaVoLZSiON3uqO8fDv/9st9y3L/UAt068msc/v4+zR/QiYDEozrSZNGhT//gKIUQUskCNEKJYOFwOrnv6Cq57+grL/fp7Z3MAABpBSURBVDmZuVGXZz2wO9hE/tkL3+LODk8e48728OlzwZHyM97+JaLGXrtJTR795G4eO2+C5RcHgANpBxl36YtsWbkVnc8SsUURtRtT67xV+VJa1cFnMbjQ7/NzWtv6xVIOIY4mgV0IUSwCgQBKqajZ0BKS44lPiuNAWmQ/d8XqSWQeyCRzf5bluQd3p/Pe2GmW+3Zv28vDg8YFR99HpfhrxhLrRWSOYSlcZSjik+LIPJAV9kXBMBSntavP9Ek/MX/6IrTW2Fx2PNlHZcZTMPfLBXTq37ZoTyxEIUhgF0Iclw1LN/PSzW/yz4J12J12+l91Fjc+OwJnTHjTuFKKavUqWwb2tC17uLrZXSiloteEo3BnuXEXkCIWiB68dXCQW/2Wddm0fEuBmeZsDhs+r4/sjJywoO6MdRIT72TvjgNMHfNJ/iP3NeRmF6LMQhwD6WMXQhyztH93M6rnI6yetxYd0HhyPMx4exZjLnjW8vg92/dbbve4vaTvTi9yULeiDIVhKpShcMU5iU2IIRDIf8Cd1+0lbctubp14TXC1vSgq1kimat3KQHD1vbB91Stwzk39SN+TXuB0PFeck14XnV7IOxKiaCSwCyGO2Rcvf4/XHR7EPLlelv62im1rd0QcXyOlquV1dEDnmx61KHRA06J7U6564hJue/la7nztehwWy7WGnaOD5U6ulsRH2ydZBndnrJNHP72HvVGSyOzavJt53yyKGtQPzXt3xbno0K8NnQe1K/rNCVEIEtiFEJY8bi+r/lzDxmVbotakNyzZjM8TOerb7rCxdU1kYL/i0Quj9sEXVYM29S2T1didNlqf0YzLHj6f/ledhemwkZ1hPX/+SH6/nwO7DhKXGMvjn9+HK9ZJTLwLZ4wDh8vOhfecQ4vTm0R0MRxi2k2SqiZa7nO47PQbeSaDbzibR6fdw2PT7o2aQU+I4yV97EKICLOn/clz174GKji3u2L1ZJ789kHqNKkVdlyTTqex4vfVEf3SXrfXcs56h75tCt/cns+gNmUoUjfuxOP2RvTL2+w2Bt/YDwhmTXv+utcKNThOa2jRo2leOT/a/gZzv15Ibpabjv3bUCOlGhAc6Je+NyPi/Ha9WzHsjkGs+P2fsLXuDdOgbrPa3Pu/Wwp330IcJ/nKKIQIs2X1Np4Z+QrZGTlkp+eQm+UmdeNO7uszBr8/vHY+9LaBOFyOsHnhDpedjv3bUvO06pbXT6yUkO/zGzYD027kG4x1QAdXn9OHp50ZpkFKq7pM+PkxqtQOZmD79eO5BAqxoI3NYaPXxd2o1+zwl5G4CnH0HdGLc2/qlxfU0/dmsC3KOvU+n59O/dtyxaMX4XDZiasQiyvOSd1mtRn79QMFlkGI4iI1diFEmOmTZuI7ahEYrSEnI5elv6yk/dmt87ZXrlmRl/54kv/e9Q7LfluFM87B4OvPZuQTl0S9/pBbB/DeE59G3V+YQGx5nj/A1jU7+PHdX6nTtBaxCTHsS91fqNHnhqG487XrLfft2rKb/456h8U/L8OT642aonb5nNX8NWMJw+8byuDrz2btoo0kVUkkpVXdYut+EKIwJLALIcLsSz1guWyrRnNwT2QTdL3mdRj/4yOFvn77Pi35ePwXBU4rOxY+j4/v3vqZfxas45X5T9OiexNc8S5yM/NfW960mez+dy+1G9cM27520QZGnfFIoZLOeHO9jLlgAne/eRO9Lz2D9n1aHde9CHGspCleCBGmy6D2lqPCfR4/LUN90Mejcu1Kx1yDTaqaiFFAVjWfx8e//+xg2exVtOvTikbtUnBarNcedo7XT1LVChHbX7p5UpEyybmzPbx+z5RimbYnxLGSwC6ECNNr+OnUalQjLBi64pwMu31gXt/18aiRUo3m3ZpgdxStwdC0mVzz1GXEJMQUuNZ7wOdn0/J/MQyDp398hKvGXkL9lnWoVr8KtqPSsjpcdnqc34X4pLiw7X6fn3WLNhWpjBBcJW9/2oEinydEcZHALoQI43DaefH3J7n6qUtp1rURHfq25qH37uT68dZrwB+Lxz+/lw7922KzCO7Rgna7s1sx4JrevLHkWc68pEe+tX7TblKrUQ0geD8X3n0uz/06hgfevZ2RTwwnLikWZ4wDZSh8Xj/zpy/i1Tsnk5N1uMneMI1888xb5W2HYF//2AufjxhoKMSJIvnYhRClJn1fBhuXbuGrV7/n75nLccW76DK4HTMm/xK2YI1pNzlzeHdueeGqvFH1875dxLjLXyQnMzdsBL1pM6nRoCr/W/UihmGgtebNB97jq1e+x+6043V7ada1MRuWbibrYHbesrB2p50mnU7j+d+eyPvS8MJNbzBj8qyIMQeGzWDQdWfz47u/4sk5ah14wBXv4sEpt9N9WOfifsnEKUbysQshypTEigm0Paslj027j68OTuHj7ZPQmohqu9/r5+f3ZjO81vU80G8sB3YfpOs5Hfhs92QemnoHjdo3wDANTJtJt3M78sKcsXkLwMx4+xe+/u8MPLlesg5m48n1suL31WQfDF/r3ev2sn7xJtYu3JC37ebnr6Jt71aYtvDaeZ0mteh7ZS+6DbH+vM3NzGXhjCXF9CoJUTSlFtiVUrcrpdYopVYqpZ4prXIIIU4uaxduiDqlzOfxs/TXlTw04Cm01tgddnpfdgb/XTie6dnvMz37fR777F6SqhweCPfpc19HpIL1+wJR14/ftGJr3mNXrJOnf/gPT3z9AI4YO8oMfuH4d9VW7j97DNXrVyUm3hVxDZvDtByMJ8SJUCqBXSl1FjAUaK21bgFYZ4wQQpxy6reom+9+v8/PtrU72LBkc9h2m90WUbMGSM83netRlKJ24xoRm6e/MRNvrg/tD9bwtQ6OgP9p6m+Wfe2madLvqjML/7xCFKPSqrHfDDyttXYDaK3TSqkcQogTaPv6VFb88Q9Z6dlRjzn35r4FXscwDdK27inUc7bv08pyitzRg+9sDhu1G9WgxelNIo5dPme15RS29L0ZPPLpPVSqWZGYBBexiTHEJsbw8Id35a1WJ8SJVloL1DQGzlBKPQXkAvdqrf+yOlApdQNwA0Dduvl/kxdCnJwO7knnsWHPsG7xJmwOG36PjxGPXcTw+4dFHFvztOqYdjMiLeqRvG4fjdo3KNRzXzX2EuZ8Pp/AUfPRuwxuR3ZGLsvnrMa0mfS8sBu3v3Kt5Wj7ClUSybCs+StadGvMB/++xrpFG/HkemnapSF2R/7Z5IQoSSUW2JVSPwFWi0WPDj1vMtAV6AR8opRqoC2+EmutJwGTIDgqvqTKK4QoOWMvfp5//lqP3+vPG0X+3hPTqNusNt3ODR+AllwtiRop1SzTvkKw37v35WcUek59bpYbq4lxf/+0nDeWPkeNBlVRSuUNtstKzyY3y03F6kl5QX74fUN59c7JYcldHC47Z13aIy/bW5NODQtVHiFKWok1xWutz9Zat7T49xWwDfhcBy0AAkDlkiqLEKL07Nm+l9Xz1kbUwHOz3Ux77puI45VSPDDlNmLiXXlpWU2bgWEa1G5SkxufGxl1XXcrc7/6C78vsvYfCGjmfbMQ0zQxDIOM/Zk8MnQ8F1a9lhGn3cqIBreyeNZyAPpffRbn3zUYh8tBbGIMDpedrud04PZXri3KSxHGneMmbeueiHX5hThepdUU/yXQG/hVKdUYcACF6zATQpQpB/dkBAeYWSzNuj/toOU5TTs34u01E/lh8s9sW5tK657NOevSHrhirXOh58dmt6EMg2D94TDDUNjshz8CHx74FOuXbMbnCQbaXVt28+iQ8fx30XjqNKnF1WMv5eL7hrJ9XSpValciuVpSkcsCwcF/k+6bwreTfkKpYPmuHHMx598x+JiuJ8TRSiuwTwYmK6VWAB5gpFUzvBCi7KvbrJZlv7XNYaPzwHZRz6tUI5nLR1943M/f86KuTHn8Y8t9PS7oAsCm5VvYtGJrXlA/xOvx8uXL33P7K9cBEJcYS+MOpx1Xef738AdMf/OnvC4JNx4mP/whSVUq0PvSHsd1bSGglEbFa609WusrQk3z7bXWs0qjHEKIkmd32Lnlpatxxh7O22532klIjmP4/UNL/PlrpFTjlpeuxuGy44p14opz4nDZueuNG6lcsyIAu7bswWaP/Dj0+4KpYIuLz+vj6//OwJ0dvlqdO9vN+09OK7bnEac2SdsqhChx/UeeRa2GNZj2/Dfs/ncPHfu35bw7B4UtJFOSBl/fl27ndmTeN4tAKboN6UjyEQvINGxXn5zMyLztps2gda/mxVaO7Iwcy/5+gD3b9xXb84hTmwR2IcQJ0bJ7U1p2P/60r8eqYvVkBl1/tuW+nCj52v2+AD0v6FpsZUhIjiehYjz7d0Zmf2vUoXDT94QoiKwVL4Q45f32yVzLcQCOGAfLZq8utudRSnHTc1fijA3PD++MdXL908WXPU+c2qTGLoQ45fm8frTV2vFaRwyoO169Lz2DhOR4po75lJ2b02jYrgFXjR1+3IPyhDhEArsQ4pTX47wuTHv+m4hBbUDUDG7Ho9OAdnQaEH1GgBDHQ5rihRBlStbBLOZPX8TS31bi90dfdrYoGrZLYcgtA4Ij9w2FYRo4YxxcOWY41epVKZbnEOJEkRq7EKLMmP7mTF67653ggjcanLEOxn0/moZtU4772jc8M4Izh5/O7GnzMG0GZw7vTkpLyU8hyh5VltaF6dixo164cGFpF0MIUQrWL97EXT3+gzsnvLm8QuVEPtr+RtgqckKUF0qpRVrrIvUHSVO8EKJMmP7mTDy5kX3gXreXxbNWlEKJhDg5SWAXQpQJG5f9i1UDo8/nIzs958QXSIiTlAR2IUSZsGN9quV2T663WFeHE6Ksk8AuhDjpaa05kJZuuU8pFbY8rBCnOgnsQoiTnlKKpCjBu1LN5BNcGiFObhLYhRBlwuWjz8d5VD52V6yTKx65kPnTF3FXj/8wosGtTLjmVVI37SqlUgpR+mR+iBCiTBh620A8bh8fPPUZ7hwPrjgnIx67CJ/Hx9jhL+DODmZnS5u6hz++WMDriydQvX7VUi61ECeezGMXQpQpfr+f7PQcYhNj8PsCXFjlmojsbIZp0G9kL+5565ZSKqUQxUPmsQshyj3TNElIjsc0TVI37ITIpGwE/AGW/rrqxBdOiJOABHYhRJmVVLUCPo/1evFV61Y+waUR4uQggV0IUWZVqJxIl0HtsTvtYdudsU6GPzCslEolROmSwC6EKNPun3IbXQYHg3tMvIu4CrHc/MJIOvVvW9pFE6JUyKh4IUSZFhPn4rFp95K+N4ODe9KpnlIVu8Ne8IlClFMS2IUQ5UJipQQSKyWUdjGEKHUS2IUQp4R1f2/k85ems3NTGu36tGLYbQPli4AolySwCyHKvTmfz2f8iIl43F50QLN24Qa+ff1HXl88gYrVZUlaUb7I4DkhRLnm9/t58aY3cOd40IHgglyeXC/p+zJ5/6nPS7l0QhQ/CexCiHItdcMuPDmeiO1+r58F3/1dCiUSomRJYBdClGtxSXH4fQHLfYkV409waYQoeRLYhRDlWnLVCrTs0RSb3Qzb7opzcsHd55ZSqYQoORLYhRDl3ugP76Jh+wY4Yx3EVYjF4bIz7PaBnHVJ99IumhDFTkbFCyHKvQqVE3n5z3FsWb2Nvdv30bBdikx1E+WWBHYhxCmjXrPa1GtWu7SLIUSJkqZ4IYQQohyRwC6EEEKUI6US2JVSbZVS85RSS5RSC5VSnUujHEIIIUR5U1o19meAMVrrtsCjoZ+FEEIIcZxKK7BrIDH0uAKwo5TKIYQQQpQrpTUq/i5ghlLqWYJfLk6PdqBS6gbgBoC6deuemNIJIYQQZVSJBXal1E9AdYtdo4E+wCit9WdKqYuB/wFnW11Haz0JmATQsWNHXULFFUIIIcqFEgvsWmvLQA2glJoC3Bn68VPgrZIqhxBCCHEqKa0+9h1Ar9Dj3sC6UiqHEEIIUa6UVh/79cBLSikbkEuoD10IIYQQx0dpXXa6rZVSu4EtpV2OQqoM7CntQhSD8nAf5eEeQO7jZFMe7qM83AOU7/uop7WuUpSLlKnAXpYopRZqrTuWdjmOV3m4j/JwDyD3cbIpD/dRHu4B5D6OJkvKCiGEEOWIBHYhhBCiHJHAXnImlXYBikl5uI/ycA8g93GyKQ/3UR7uAeQ+wkgfuxBCCFGOSI1dCCGEKEcksBcTpdTHoTS0S5RSm5VSS6Ict1kptfxQytoTXc6CKKUeV0ptP+JeBkU5boBSao1Sar1S6sETXc78KKUmKKX+UUotU0p9oZRKinLcSfleFPTaKqWcod+39Uqp+Uqp+ie+lPlTStVRSv2ilFqtlFqplLrT4pgzlVIHj/hde7Q0ylqQgn5PVNDE0PuxTCnVvjTKGY1SqskRr/ESpVS6Uuquo445Kd8LpdRkpVSaUmrFEdsqKqVmKqXWhf5PjnLuyNAx65RSI09cqS3LYnUfJfc5pbWWf8X8D3gOeDTKvs1A5dIuYz5lfxy4t4BjTGAD0ABwAEuB5qVd9iPK1w+whR6PB8aXlfeiMK8tcAvweujxJcDHpV1ui/uoAbQPPU4A1lrcx5nAt6Vd1kLcS76/J8Ag4HtAAV2B+aVd5gJ+v3YSnBt90r8XQE+gPbDiiG3PAA+GHj9o9fcNVAQ2hv5PDj1OPsnuo8Q+p6TGXsyUUgq4GPiwtMtSgjoD67XWG7XWHuAjYGgplymP1vpHrbUv9OM8oHZplqeICvPaDgXeDT2eBvQJ/d6dNLTWqVrrv0OPM4DVQK3SLVWJGQpM0UHzgCSlVI3SLlQUfYANWusysdCX1no2sO+ozUf+/r8LDLM4tT8wU2u9T2u9H5gJDCixghbA6j5K8nNKAnvxOwPYpbWOtv69Bn5USi0KpaQ9Gd0Wah6aHKWZqxaw9Yift3HyfmhfQ7A2ZeVkfC8K89rmHRP6YDgIVDohpTsGoa6CdsB8i93dlFJLlVLfK6VanNCCFV5Bvydl6e/hEqJXOsrCewFQTWudCsEvkEBVi2PK0nsCxfw5VVprxZdJKp9UtFrrr0KPLyX/2np3rfUOpVRVYKZS6p/Qt7kTJr/7AF4DxhL8ZRpLsFvhmqMvYXHuCZ1eUZj3Qik1GvAB70e5TKm/FxYK89qW+utfWEqpeOAz4C6tdfpRu/8m2CScGRrL8SXQ6ESXsRAK+j0pE++HUsoBDAEesthdVt6LwioT7wmUzOeUBPYi0PmkogVQwaQ25wMd8rnGjtD/aUqpLwg2vZ7QYFLQfRyilHoT+NZi1zagzhE/1yaYse+EKcR7MRI4B+ijQx1VFtco9ffCQmFe20PHbAv9zlUgsrmy1Cml7ASD+vta68+P3n9koNdaf6eU+q9SqrLW+qRa87sQvyel/vdQSAOBv7XWu47eUVbei5BdSqkaWuvUUJdHmsUx2wiOGzikNvDrCShbkZTU55Q0xRevs4F/tNbbrHYqpeKUUgmHHhMcPLHC6tjSclTf4HlYl+8voJFSKiVUC7gE+PpElK8wlFIDgAeAIVrr7CjHnKzvRWFe26+BQ6N8LwRmRftQKC2hPv//Aau11s9HOab6obEBSqnOBD+P9p64UhaskL8nXwNXhkbHdwUOHmoqPslEbU0sC+/FEY78/R8JfGVxzAygn1IqOdSd2C+07aRRop9TpTVKsDz+A94BbjpqW03gu9DjBgRHOS8FVhJsNi71ch9V3qnAcmAZwT+gGkffR+jnQQRHOm842e4DWE+wf21J6N+hEeRl4r2wem2BJ0IfAAAu4NPQfS4AGpR2mS3uoQfBps9lR7wPg4CbDv2NALeFXvulBAcPnV7a5ba4D8vfk6PuQwGvht6v5UDH0i63xX3EEgzUFY7YdtK/FwS/iKQCXoK18GsJjif5GVgX+r9i6NiOwFtHnHtN6G9kPXD1SXgfJfY5JSvPCSGEEOWINMULIYQQ5YgEdiGEEKIckcAuhBBClCMS2IUQQohyRAK7EEIIUY5IYBeiDFFK+VV4pq76SqmOSqmJRbhGklLqlnz236GCWdmirYSV37XrK6UuK+p5QojiI9PdhChDlFKZWuv4Qh5r04eTTBy5vT7BTF4to5z3DzBQa73pGMp3JsHsgOcU8TxTa+0v6vMJISJJjV2IMk4Fc2l/G3r8uFJqklLqR2CKUqqFUmpBqHa/TCnVCHgaOC20bcJR13qd4KIYXyulRoVWvpqslPpLKbVYKTU0dFx9pdQcpdTfoX+nhy7xNHBG6NqjlFJXKaVeOeL634aCP0qpTKXUE0qp+QQTkHRQSv2mgskuZqiTN0OaECc1WSteiLIlRim1JPR4k9b6PItjOgA9tNY5SqmXgZe01u+Hlqg1Ceawbqm1bnv0iVrrm0JLXZ6ltd6jlBpHcMnaa5RSScACFUzAkwb01Vrnhr4sfEhw5a8HOaLGrpS6Kp97iSOYn/rR0LryvwFDtda7lVLDgaeITEAkhCiABHYhypYcq4B8lK+11jmhx38Co5VStYHPtdbrVNFSt/cDhiil7g397ALqEkxy8opSqi3gBxoX5aIhfoJJYgCaAC0JZq+C4BeQk3G9dSFOehLYhSh/sg490Fp/EGrqHgzMUEpdB2wswrUUcIHWek3YRqUeB3YBbQh26eVGOd9HeJef64jHuUf0qytgpda6WxHKJoSwIH3sQpRjSqkGwEat9USCSX1aAxlAQiEvMQO4/YjMX+1C2ysAqVrrADCCYA0bi2tvBtoqpQylVB2CKSetrAGqKKW6hZ7HrpRqUcgyCiGOIIFdiPJtOLAi1C/fFJiitd4L/KGUWnH04DkLYwE7sEwptSL0M8B/gZFKqXkEm+EPtRIsA3xKqaVKqVHAH8AmglnPngX+tnoSrbWHYAra8UqppQSzXZ1udawQIn8y3U0IIYQoR6TGLoQQQpQjEtiFEEKIckQCuxBCCFGOSGAXQgghyhEJ7EIIIUQ5IoFdCCGEKEcksAshhBDliAR2IYQQohz5f17JbOEdFAy9AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, y = make_blobs(centers=4, n_samples=1000)\n",
    "print(f'Shape of dataset: {X.shape}')\n",
    "\n",
    "fig = plt.figure(figsize=(8,6))\n",
    "plt.scatter(X[:,0], X[:,1], c=y)\n",
    "plt.title(\"Dataset with 4 clusters\")\n",
    "plt.xlabel(\"First feature\")\n",
    "plt.ylabel(\"Second feature\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## K-Means class "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-03-11T13:39:37.138439Z",
     "start_time": "2018-03-11T13:39:37.007026Z"
    }
   },
   "outputs": [],
   "source": [
    "class KMeans():\n",
    "    def __init__(self, n_clusters=4):\n",
    "        self.k = n_clusters\n",
    "\n",
    "    def fit(self, data):\n",
    "        \"\"\"\n",
    "        Fits the k-means model to the given dataset\n",
    "        \"\"\"\n",
    "        n_samples, _ = data.shape\n",
    "        # initialize cluster centers\n",
    "        self.centers = np.array(random.sample(list(data), self.k))\n",
    "        self.initial_centers = np.copy(self.centers)\n",
    "\n",
    "        # We will keep track of whether the assignment of data points\n",
    "        # to the clusters has changed. If it stops changing, we are \n",
    "        # done fitting the model\n",
    "        old_assigns = None\n",
    "        n_iters = 0\n",
    "\n",
    "        while True:\n",
    "            new_assigns = [self.classify(datapoint) for datapoint in data]\n",
    "\n",
    "            if new_assigns == old_assigns:\n",
    "                print(f\"Training finished after {n_iters} iterations!\")\n",
    "                return\n",
    "\n",
    "            old_assigns = new_assigns\n",
    "            n_iters += 1\n",
    "\n",
    "            # recalculate centers\n",
    "            for id_ in range(self.k):\n",
    "                points_idx = np.where(np.array(new_assigns) == id_)\n",
    "                datapoints = data[points_idx]\n",
    "                self.centers[id_] = datapoints.mean(axis=0)\n",
    "\n",
    "    def l2_distance(self, datapoint):\n",
    "        dists = np.sqrt(np.sum((self.centers - datapoint)**2, axis=1))\n",
    "        return dists\n",
    "\n",
    "    def classify(self, datapoint):\n",
    "        \"\"\"\n",
    "        Given a datapoint, compute the cluster closest to the\n",
    "        datapoint. Return the cluster ID of that cluster.\n",
    "        \"\"\"\n",
    "        dists = self.l2_distance(datapoint)\n",
    "        return np.argmin(dists)\n",
    "\n",
    "    def plot_clusters(self, data):\n",
    "        plt.figure(figsize=(12,10))\n",
    "        plt.title(\"Initial centers in black, final centers in red\")\n",
    "        plt.scatter(data[:, 0], data[:, 1], marker='.', c=y)\n",
    "        plt.scatter(self.centers[:, 0], self.centers[:,1], c='r')\n",
    "        plt.scatter(self.initial_centers[:, 0], self.initial_centers[:,1], c='k')\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Initializing and fitting the model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-03-11T13:39:38.433011Z",
     "start_time": "2018-03-11T13:39:38.324276Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training finished after 4 iterations!\n"
     ]
    }
   ],
   "source": [
    "kmeans = KMeans(n_clusters=4)\n",
    "kmeans.fit(X)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot initial and final cluster centers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-03-11T13:39:41.649052Z",
     "start_time": "2018-03-11T13:39:41.218985Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "kmeans.plot_clusters(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.9"
  },
  "toc": {
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
